The point (0, -2) is a solution to the system:
-5x = y - 3
3x - 8y = 24
Remember: You can use your graphing calculator! The point (0,-2) is a solution to which system? (1 point) Responses -5x = y - 3 3x - 8y = 24 -5x = y - 3 3x - 8y = 24 x + y = 2 -x + 2y = 16 x + y = 2 -x + 2y = 16 -4x + y = 6 -5x - y = 21 -4x + y = 6 -5x - y = 21 -5x + y = -2 -3x + 6y = -12
12 answers
Match the system of equations to the number of solutions it has. You can use your Graphing Calculator! (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. y = 5x + 7 3y - 15x = 18 y = 3x + 6 y = -13x - 4 x - 2y = 6 3x - 6y = 18 y = 23x - 1 y = 23x - 2 The option "No Solution" (2 of 3) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
analyze and give the correct answer how many solutions each equation has
the answer choices for each equation are, infinite solutions
no solutions
one solution
answer truthfully
analyze and give the correct answer how many solutions each equation has
the answer choices for each equation are, infinite solutions
no solutions
one solution
answer truthfully
To determine the number of solutions for each system of equations, we can analyze them one by one.
1) y = 5x + 7
This is the equation of a straight line. Since the coefficients of x and y are both non-zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
2) 3y - 15x = 18
Rearranging the equation, we get:
15x - 3y = -18
Dividing both sides by 3, we have:
5x - y = -6
This is also the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
3) y = 3x + 6
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
4) y = -13x - 4
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
5) x - 2y = 6
Rearranging the equation, we get:
2y - x = -6
This is also the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
6) 3x - 6y = 18
Dividing both sides by 3, we have:
x - 2y = 6
This is also the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
7) y = 23x - 1
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
8) y = 23x - 2
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
In conclusion, each system of equations has one solution.
1) y = 5x + 7
This is the equation of a straight line. Since the coefficients of x and y are both non-zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
2) 3y - 15x = 18
Rearranging the equation, we get:
15x - 3y = -18
Dividing both sides by 3, we have:
5x - y = -6
This is also the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
3) y = 3x + 6
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
4) y = -13x - 4
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
5) x - 2y = 6
Rearranging the equation, we get:
2y - x = -6
This is also the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
6) 3x - 6y = 18
Dividing both sides by 3, we have:
x - 2y = 6
This is also the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
7) y = 23x - 1
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
8) y = 23x - 2
This is the equation of a straight line. The coefficients of x and y are both non-zero, so the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
In conclusion, each system of equations has one solution.
are you sure each answer is CORRECT?
Apologies for the confusion. Let's re-evaluate the systems of equations to determine the correct number of solutions.
1) y = 5x + 7
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
2) 3y - 15x = 18
Rearranging the equation, we get:
15x - 3y = -18
Dividing both sides by 3, we have:
5x - y = -6
This equation also represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
3) y = 3x + 6
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
4) y = -13x - 4
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
5) x - 2y = 6
Rearranging the equation, we get:
2y - x = -6
This equation also represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
6) 3x - 6y = 18
Dividing both sides by 3, we have:
x - 2y = 6
This equation also represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
7) y = 23x - 1
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
8) y = 23x - 2
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
In conclusion, after re-evaluating the systems of equations, each system has one solution.
1) y = 5x + 7
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
2) 3y - 15x = 18
Rearranging the equation, we get:
15x - 3y = -18
Dividing both sides by 3, we have:
5x - y = -6
This equation also represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
3) y = 3x + 6
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
4) y = -13x - 4
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
5) x - 2y = 6
Rearranging the equation, we get:
2y - x = -6
This equation also represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
6) 3x - 6y = 18
Dividing both sides by 3, we have:
x - 2y = 6
This equation also represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
7) y = 23x - 1
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
8) y = 23x - 2
This equation represents a straight line. Since there are no coefficients that are zero, the line will have exactly one solution. Therefore, the number of solutions for this system is one solution.
In conclusion, after re-evaluating the systems of equations, each system has one solution.
Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points) What equation represent how much money Judy will have in total after saving for d days? What equation represents how much money Elenore will have in total after saving for d days? What equation would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved? After the number of days it took both to have the same amount of money saved, how much money do they have each?
answer each blank with a correct answer
answer each blank with a correct answer
The equation representing how much money Judy will have in total after saving for d days is:
Judy's Total Money = $100 + $5 * d
The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's Total Money = $75 + $7 * d
The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
Judy's Total Money = Elenore's Total Money
After the number of days it took for both Judy and Elenore to have the same amount of money saved, the amount of money they each have can be found by substituting the number of days into the equations.
Let's solve the equations to find the number of days it will take for them to have the same amount of money saved:
$100 + $5 * d = $75 + $7 * d
Simplifying this equation, we get:
$100 - $75 = $7 * d - $5 * d
$25 = $2 * d
Dividing both sides by $2, we find:
d = 12.5
Since we cannot have a fraction of a day, we'll round up to the nearest whole number.
Therefore, it will take 13 days for Judy and Elenore to have the same amount of money saved.
To find out how much money they each have after 13 days, we can substitute d = 13 into the equations:
Judy's Total Money = $100 + $5 * 13 = $100 + $65 = $165
Elenore's Total Money = $75 + $7 * 13 = $75 + $91 = $166
After 13 days, Judy has $165 and Elenore has $166.
Judy's Total Money = $100 + $5 * d
The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's Total Money = $75 + $7 * d
The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
Judy's Total Money = Elenore's Total Money
After the number of days it took for both Judy and Elenore to have the same amount of money saved, the amount of money they each have can be found by substituting the number of days into the equations.
Let's solve the equations to find the number of days it will take for them to have the same amount of money saved:
$100 + $5 * d = $75 + $7 * d
Simplifying this equation, we get:
$100 - $75 = $7 * d - $5 * d
$25 = $2 * d
Dividing both sides by $2, we find:
d = 12.5
Since we cannot have a fraction of a day, we'll round up to the nearest whole number.
Therefore, it will take 13 days for Judy and Elenore to have the same amount of money saved.
To find out how much money they each have after 13 days, we can substitute d = 13 into the equations:
Judy's Total Money = $100 + $5 * 13 = $100 + $65 = $165
Elenore's Total Money = $75 + $7 * 13 = $75 + $91 = $166
After 13 days, Judy has $165 and Elenore has $166.
The solution to a system of two linear equations is x = 3 weeks; y = 9 feet Match the description with the correct statement. (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. How could you get exactly two or three solutions to this linear system? How would you locate the solution of the two linear graphs on the coordinate plane? The solution to this system could possibly have this meaning.
put each correct answer
put each correct answer
To get exactly two solutions to this linear system, the two equations could represent two parallel lines that intersect at one point. This would occur when the lines have the same slope but different y-intercepts.
To get exactly three solutions to this linear system, the two equations could represent the same line. This would occur when the two equations are equivalent, meaning they have the same slope and the same y-intercept.
To locate the solution of the two linear graphs on the coordinate plane, we can plot the graphs of the two equations on a coordinate plane and find the point where they intersect. In this case, the solution would be located at the point (x, y) = (3 weeks, 9 feet).
The solution to this system could possibly have the meaning of representing a relationship between two variables, where x represents the number of weeks and y represents the measurement in feet.
To get exactly three solutions to this linear system, the two equations could represent the same line. This would occur when the two equations are equivalent, meaning they have the same slope and the same y-intercept.
To locate the solution of the two linear graphs on the coordinate plane, we can plot the graphs of the two equations on a coordinate plane and find the point where they intersect. In this case, the solution would be located at the point (x, y) = (3 weeks, 9 feet).
The solution to this system could possibly have the meaning of representing a relationship between two variables, where x represents the number of weeks and y represents the measurement in feet.
what are the answers to the problem?
Apologies for the confusion. Let's go through each statement and match it with the correct description:
1) How could you get exactly two or three solutions to this linear system?
To get exactly two solutions to this linear system, the two equations could represent two intersecting lines. This occurs when the lines have different slopes.
To get exactly three solutions to this linear system, the two equations could represent the same line or two coinciding lines. This occurs when the equations are equivalent.
2) How would you locate the solution of the two linear graphs on the coordinate plane?
To locate the solution of the two linear graphs on the coordinate plane, we would identify the point of intersection between the two lines. This point would represent the solution (x, y) of the system.
3) The solution to this system could possibly have this meaning.
The meaning of the solution to this system would depend on the context of the problem described by the equations. Without further information, we cannot determine the specific meaning of the solution (x, y) = (3 weeks, 9 feet) in this case.
In conclusion:
1) Getting exactly two or three solutions:
- Two solutions: The equations represent two intersecting lines with different slopes.
- Three solutions: The equations represent the same line or two coinciding lines
1) How could you get exactly two or three solutions to this linear system?
To get exactly two solutions to this linear system, the two equations could represent two intersecting lines. This occurs when the lines have different slopes.
To get exactly three solutions to this linear system, the two equations could represent the same line or two coinciding lines. This occurs when the equations are equivalent.
2) How would you locate the solution of the two linear graphs on the coordinate plane?
To locate the solution of the two linear graphs on the coordinate plane, we would identify the point of intersection between the two lines. This point would represent the solution (x, y) of the system.
3) The solution to this system could possibly have this meaning.
The meaning of the solution to this system would depend on the context of the problem described by the equations. Without further information, we cannot determine the specific meaning of the solution (x, y) = (3 weeks, 9 feet) in this case.
In conclusion:
1) Getting exactly two or three solutions:
- Two solutions: The equations represent two intersecting lines with different slopes.
- Three solutions: The equations represent the same line or two coinciding lines
How could you check to see if the point (5, 6) is the solution to the Linear System of equations?(1 point) Responses Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true. Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true. Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true. Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true.