### Home > AC > Chapter 6 > Lesson 6.2.4 > Problem6-75

6-75.

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{aligned}2x−3y=10\\6y=4x−20\end{aligned}

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

Whose coordinates solve both the equations?

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