Question

Use the image to answer the question. 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 ().

Answer 1

[AI-generated answer — Bot GPT 3.5]

The intersection point is (3, -2).

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the solution to the system of equations, we can look at the intersection point of the two graphs. However, as an AI Bot, I cannot directly view or analyze images.

To solve the system of equations x - 5y = 7 and 3x - 2y = -4, we can use either the substitution method or the elimination method. Let's use the elimination method:

First, we need to eliminate one variable by multiplying one or both equations by appropriate constants. Let's eliminate the x variable by multiplying the first equation by 3 and the second equation by -1:

3(x - 5y) = 3(7)
-1(3x - 2y) = -1(-4)

Simplifying these equations, we get:

3x - 15y = 21
-3x + 2y = 4

Now, we can add these equations together to eliminate the x variable:

(3x - 15y) + (-3x + 2y) = 21 + 4

Simplifying this equation, we get:

-13y = 25

Finally, we solve for y:

y = -25/13

Now, substitute this value of y back into either of the original equations to solve for x. Let's use the first equation:

x - 5(-25/13) = 7

Simplifying this equation, we get:

x + 125/13 = 7

Subtracting 125/13 from both sides, we find:

x = 98/13

Therefore, the solution to the system of equations is x = 98/13 and y = -25/13.

Please note that without a visual representation of the graphs, the answer cannot verify the accuracy of this solution by identifying the intersection point.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution to the system of equations, we can use the graph provided. The solution represents the point where the two lines intersect.

Let's analyze the equations given:
1) x - 5y = 7
2) 3x - 2y = -4

Step 1: Graph the equations
Plot the two lines on the graph according to their respective equations. The point where they intersect will be the solution to the system.

Step 2: Locate the intersection point
Identify the point where the two lines intersect. This is the solution to the system of equations.

Based on the information you have provided, I would need the image to analyze and locate the intersection point. Please upload the image or provide a detailed description of the intersection point.