Question

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

2p = 7 + q
6p - 3q = 24

Answer 1

`2p=7+q \\ 6p-3q=24 \\ \\ \hbox{divide the second equation by 3:} \\ (6)/(3)p-(3)/(3)q=(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}}`