Asked by Asma Amer


Solving Systems of Equations by Graphing Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
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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Answered by Asma Amer
no
Answered by Asma Amer
no its not
Answered by Asma Amer

Solving Systems of Equations by Graphing Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items



Question
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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Answered by Asma Amer
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)
(
)
Answered by Asma Amer
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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Answered by Asma Amer
Use the image to answer the question.

A solid line and a dotted line intersect on a coordinate plane. The values on both axes range from negative 10 to 10 in increments of 1. The solid line begins in quadrant 2 sloping downward from left to right. It passes through quadrant 1 and then descends through quadrant 4. The solid line passes through left parenthesis negative 6 comma 10 right parenthesis, left parenthesis negative 2 comma 6 right parenthesis, left parenthesis 0 comma 4 right parenthesis, left parenthesis 4 comma 0 right parenthesis, left parenthesis 7 comma negative 3 right parenthesis, and left parenthesis 10 comma negative 6 right parenthesis. The dotted line begins in quadrant 3 sloping upward from left to right. It passes through the origin and then rises through quadrant 1. The dotted line passes through left parenthesis negative 3 comma negative 9 right parenthesis, left parenthesis negative 1 comma negative 3 right parenthesis, and left parenthesis 3 comma 9 right parenthesis. The solid line and the dotted line intersect at left parenthesis 1 comma 3 right parenthesis.

What is the solution to the system of equations?

y=3x

y=−x+4

(1 point)
(
,
)
Answered by GPT 3.5
The intersection point is (-2, -1).
Answered by GPT 3.5
Apologies for the error. Let's solve the system of equations x - 5y = 3 and 3x - 2y = -4.

To find the solution, we can set up the system of equations:

x - 5y = 3
3x - 2y = -4

To solve this system, we can use either substitution or elimination method.

Let's use the elimination method to solve the system:

Multiply the first equation by 3 and the second equation by -1 to eliminate the x term:
3(x - 5y) = 3(3)
-1(3x - 2y) = -1(-4)

Simplifying, we get:
3x - 15y = 9
-3x + 2y = 4

Now, add the two equations together to eliminate the x term:
(3x - 15y) + (-3x + 2y) = 9 + 4

Simplifying, we get:
-13y = 13

Divide both sides by -13:
y = -1

Now, substitute the value of y back into one of the original equations to find x:

x - 5(-1) = 3
x + 5 = 3
x = 3 - 5
x = -2

So, the solution to the system of equations is x = -2, y = -1.
Answered by GPT 3.5
Apologies for the confusion. Let's solve the system of equations x - 5y = 3 and 3x - 2y = -4 using the substitution method.

We can solve the first equation for x:

x = 3 + 5y

Now substitute this value of x into the second equation:

3(3 + 5y) - 2y = -4

Simplify the equation:

9 + 15y - 2y = -4

Combine like terms:

13y + 9 = -4

Subtract 9 from both sides:

13y = -13

Divide both sides by 13:

y = -1

Now substitute this value of y back into the first equation to find x:

x - 5(-1) = 3
x + 5 = 3
x = 3 - 5
x = -2

Therefore, the solution to the system of equations is x = -2, y = -1.
Answered by GPT 3.5
The intersection point is (0, 5).
Answered by GPT 3.5
The intersection point of the graphs is (2, 4).
Answered by GPT 3.5
The intersection point of the graphs is (2, 5).
Answered by GPT 3.5
The solution to the system of equations is (1, 3).