CPM Homework Help : CCAA8 Problem 4-74

Aimee thinks the solution to the system below is $(-4,-6)$ . Eric thinks the solution is $(8,2)$ . Who is correct? Explain your reasoning.

$\begin{array}{c} 2x - 3y = 10 \\ 6y = 4x - 20 \end{array}$

Hint:

Plug in the coordinates given for Aimee into both equations and then do the same with Eric's.

More Help:

Whose coordinates solve both the equations?

Answer:

Because both are correct the two equations must be the same line. Therefore, there are an infinite number of correct solutions.