Question

Solve each systems of equations by elimination method. 1* 3x-2y=5 3x-2y=162* 3x-y=7 3x-y=7

Answer 1

We have the following:

1.

$\begin{gathered} 3x-2y=5 \\ 3x-2y=16 \\ _{}---------- \\ 3x-3x-2y+2y=5-16 \\ 0=-11 \end{gathered}$

Therefore, the system has no solution

2.

$\begin{gathered} 3x-y=7 \\ 3x-y=7 \\ -------- \\ 3x-3x-y+y=7-7 \\ 0=0 \end{gathered}$

Therefore, the system has infinite solutions