Estimate the intersection point of the graphs of the linear equations in variables.

Question

y = -x +7

y = 4x -3

Answer 1

To find the intersection point of the two graphs of the linear equations, we can set them equal to each other:

-x + 7 = 4x - 3

Now, let's solve for x:

-x - 4x = -3 - 7
-5x = -10
x = 2

Now that we have found x = 2, we can substitute it back into either of the original equations to find the y-coordinate. Let's use y = -x + 7:

y = -(2) + 7
y = -2 + 7
y = 5

Therefore, the intersection point of the two graphs is (2, 5).