Question

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

y=−x+7

y=4x−3

Answer 1

To find the intersection point, we need to set the two equations equal to each other:

−x + 7 = 4x - 3

Adding x to both sides:
7 = 5x - 3

Adding 3 to both sides:
10 = 5x

Dividing by 5:
x = 2

Now that we have found the x-coordinate, we can substitute it back into one of the equations to find the y-coordinate:

y = -2 + 7
y = 5

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