Question

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.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the x-intercept of a linear equation, we set y equal to zero and solve for x.

For the equation y = 2x + 10, when y = 0, we have:
0 = 2x + 10
-10 = 2x
x = -5

For the equation y = 3x + 15, when y = 0, we have:
0 = 3x + 15
-15 = 3x
x = -5

Therefore, the common x-intercept for both equations is x = -5.

Answer 2

nope

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake.

To find the common x-intercept, we need to find the value of x when y = 0 for both equations.

For the equation y = 2x + 10, when y = 0, we have:
0 = 2x + 10
-10 = 2x
x = -5

For the equation y = 3x + 15, when y = 0, we have:
0 = 3x + 15
-15 = 3x
x = -5

Therefore, the common x-intercept for both equations is x = -5.