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Solve each system of equations by using either substitution or elimination. 2p = 7 + q 6p - 3q = 24

Solve each system of equations by using either substitution or elimination. 2p = 7 + q 6p - 3q = 24
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1 vote
Solve each system of equations by using either substitution or elimination.

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

User Kimchy
by
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1 Answer

3 votes

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}}
User Domos
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