Given the equations below, what is the value of (p + q) 2 ?

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Accepted Answer

Multiply the second equation by 3 and add it to the first equation. The p terms will drop out, and you can solve for q: 3(–5p + 2q = 24) = –15p + 6q = 72 –15p + 6q = 72 + 8q + 15p = 26 14q = 98 q = 7 Substitute the value of q into the second equation and solve for p: –5p + 2(7) = 24 –5p + 14 = 24 –5p = 10 p = –2 Since p = –2 and q = 7, the value of (p + q) 2 = (–2 + 7) 2 = 5 2 = 25.

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