Question

Review the graphs of a system of these two linear equations in two variables: y=4x−10 and y=−2x+8 Find the solution of the system.(1 point)The solution of the system of equations is ().

Answer 1

To find the solution of the system of equations, we need to find the point of intersection between the two graphs.

First, let's graph the equation y=4x-10:

Plotting a few points gives us:

When x = 0, y = 4(0) - 10 = -10. So one point on the graph is (0, -10).
When x = 2, y = 4(2) - 10 = -2. So another point on the graph is (2, -2).

Plotting these two points and drawing a line through them, we get:

Graph: https://www.desmos.com/calculator/it57owsxzz

Next, let's graph the equation y=-2x+8:

Plotting a few more points gives us:

When x = 0, y = -2(0) + 8 = 8. So one point on the graph is (0, 8).
When x = 4, y = -2(4) + 8 = 0. So another point on the graph is (4, 0).

Plotting these two points and drawing a line through them, we get:

Graph: https://www.desmos.com/calculator/xiofjwo0jz

The point of intersection between the two graphs is (2, -2).

Therefore, the solution of the system of equations is (2, -2).

Answer 2

is it 2 or -2?

Answer 3

Apologies for the confusion. The correct solution of the system of equations is (2, -2).