Asked by Kaii
Use the image to answer the question.
A coordinate plane with four quadrants shows the x- and y-axes ranging from negative 5 to 5 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is x minus 5 y equals 3. The equation of the dotted line is 3 x minus 2 y equals negative 4. The intersection of both lines is shown at negative 2 on the x-axis and negative 1 on the y-axis in quadrant 3.
Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations.
(1 point)
The intersection point is (
).
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A coordinate plane with four quadrants shows the x- and y-axes ranging from negative 5 to 5 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is x minus 5 y equals 3. The equation of the dotted line is 3 x minus 2 y equals negative 4. The intersection of both lines is shown at negative 2 on the x-axis and negative 1 on the y-axis in quadrant 3.
Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations.
(1 point)
The intersection point is (
).
Skip to navigation
Answers
Answered by
Kaii
wrong
Answered by
Kaii
Use the image to answer the question.
A coordinate plane with four quadrants shows the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 5 to 15 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x plus 5. The equation of the dotted line is 4 x plus 3 y equals 15. The intersection point of both lines is shown at 0 on the x-axis and positive 5 on the y-axis.
Review the graphs of a system of two linear equations in two variables: 4x+3y=15 and y=x+5. Find the solution to both equations.
(1 point)
The intersection point is (
).
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page 16 of 17
A coordinate plane with four quadrants shows the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 5 to 15 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x plus 5. The equation of the dotted line is 4 x plus 3 y equals 15. The intersection point of both lines is shown at 0 on the x-axis and positive 5 on the y-axis.
Review the graphs of a system of two linear equations in two variables: 4x+3y=15 and y=x+5. Find the solution to both equations.
(1 point)
The intersection point is (
).
Skip to navigation
page 16 of 17
Answered by
Kaii
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals negative x plus 6. The equation of the dotted line is y equals x plus 2. The lines intersect at left parenthesis 2 comma 4 right parenthesis which is not plotted as a point.
Estimate the intersection point of the graphs of the following linear equations in two variables.
y=x+2
y=−x+6
(1 point)
(
)
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page 16 of 17
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals negative x plus 6. The equation of the dotted line is y equals x plus 2. The lines intersect at left parenthesis 2 comma 4 right parenthesis which is not plotted as a point.
Estimate the intersection point of the graphs of the following linear equations in two variables.
y=x+2
y=−x+6
(1 point)
(
)
Skip to navigation
page 16 of 17
Answered by
Kaii
Solving Systems of Equations by Graphing Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals negative x plus 7. The equation of the dotted line is y equals 4 x minus 3. The lines intersect at left parenthesis 2 comma 5 right parenthesis which is not plotted as a point.
Estimate the intersection point of the graphs of the following linear equations in two variables.
y=−x+7
y=4x−3
(1 point)
(
)
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page 16 of 17
Answered by
GPT 3.5
The intersection point is (3, 2).
Answered by
GPT 3.5
Apologies for the mistake. Let's solve the system of equations to find the correct intersection point.
Given the equations:
1) x - 5y = 3
2) 3x - 2y = -4
To find the solution, we can use the method of substitution or elimination. Let's use the elimination method:
Multiplying equation 1) by 3 and equation 2) by 5 to eliminate the coefficients of x:
3(x - 5y) = 3 * 3
5(3x - 2y) = 5 * (-4)
Simplifying:
3x - 15y = 9
15x - 10y = -20
Now, let's subtract equation 1) from equation 2):
(15x - 10y) - (3x - 15y) = -20 - 9
15x - 10y - 3x + 15y = -29
12x + 5y = -29
Now, let's solve for x:
12x = -29 - 5y
x = (-29 - 5y)/12
Substitute this value of x back into equation 1):
(-29 - 5y)/12 - 5y = 3
-29 - 5y - 60y = 36
-65y = 36 + 29
-65y = 65
y = -1
Now, substitute this value of y back into the equation 1):
x - 5(-1) = 3
x + 5 = 3
x = 3 - 5
x = -2
So, the correct intersection point of the equations is (-2, -1).
Given the equations:
1) x - 5y = 3
2) 3x - 2y = -4
To find the solution, we can use the method of substitution or elimination. Let's use the elimination method:
Multiplying equation 1) by 3 and equation 2) by 5 to eliminate the coefficients of x:
3(x - 5y) = 3 * 3
5(3x - 2y) = 5 * (-4)
Simplifying:
3x - 15y = 9
15x - 10y = -20
Now, let's subtract equation 1) from equation 2):
(15x - 10y) - (3x - 15y) = -20 - 9
15x - 10y - 3x + 15y = -29
12x + 5y = -29
Now, let's solve for x:
12x = -29 - 5y
x = (-29 - 5y)/12
Substitute this value of x back into equation 1):
(-29 - 5y)/12 - 5y = 3
-29 - 5y - 60y = 36
-65y = 36 + 29
-65y = 65
y = -1
Now, substitute this value of y back into the equation 1):
x - 5(-1) = 3
x + 5 = 3
x = 3 - 5
x = -2
So, the correct intersection point of the equations is (-2, -1).
Answered by
GPT 3.5
The intersection point is (0, 5).
Answered by
GPT 3.5
The estimated intersection point of the graphs of the linear equations y = x + 2 and y = -x + 6 is (2, 4).
Answered by
GPT 3.5
The estimated intersection point of the graphs of the linear equations y = -x + 7 and y = 4x - 3 is approximately (2, 5).