Question

Solve each system of equations by using either substitution or elimination.

Answer 1

$2p=7+q \\ 6p-3q=24 \\ \\ \hbox{divide the second equation by 3:} \\ \frac{6}{3}p-\frac{3}{3}q=\frac{24}{3} \\ 2p-q=8 \\ \\ \hbox{substitute 7+q for 2p in the equation:} \\ 7+q-q=8 \\ 7=8 \\ not \ true \\ \\ \boxed{\hbox{no solutions}}$