Given the equations below, what is the value of xy?

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Accepted Answer

Solve the second equation for y in terms of x; –x – y = –6, –y = x – 6, y = –x + 6. Substitute this expression for y in the first equation and solve for x: –5x + 2(–x + 6) = –51 –5x – 2x + 12 = –51 –7x + 12 = –51 –7x = –63 x = 9 Substitute the value of x into the second equation and solve for y: –9 – y = –6 –y = 3 y = –3 Since x = 9 and y = –3, the value of xy = (9)(–3) = –27.

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