estimate the intersection point of the graphs of the following linear equations in two varibles y=-x+7 y=4x-3

Answer 1

To find the intersection point of the two linear equations, we need to set them equal to each other and solve for the values of x and y.

So, we have:

-x + 7 = 4x - 3

Adding x to both sides and adding 3 to both sides, we get:

10 = 5x

Dividing by 5 on both sides, we find:

x = 2

Now that we have x, we can substitute it back into one of the equations to find y. Let's use the first equation y = -x + 7:

y = -2 + 7
y = 5

Therefore, the intersection point of the two linear equations is at (2, 5).