Question

The graphs of y=-x+4 and y=2x-8 intersect at the point (4,0) . So, Jane says the solution of the equation -x+4=2x+8 is(4,0). Is she correct?

Answer 1

No, Jane is not correct.

Explanation:

No, Jane is not correct. The two equations are separate. There is no reason to link them by setting one equal to the other.

Let calculate the result:

-x+4=2x+8

-3x = 4

x = -(4/3)

The point (-(4/3),0) is not on either line.

See the attached graph/