The two equations y=2x+10 and y=3x+15 have an additive relationship. While they do not share the same slope or y-intercept, they do have a common x-intercept. Identify that common point

Answer 1

To find the x-intercept, we set y = 0 in both equations and solve for x.

For the equation y = 2x + 10:
0 = 2x + 10
-10 = 2x
x = -5

For the equation y = 3x + 15:
0 = 3x + 15
-15 = 3x
x = -5

Both equations have a common x-intercept at the point (-5, 0).