Given the equations below, what is the value of a + b?

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Accepted Answer

Divide the second equation by 2 and add it to the first equation. The b terms will drop out, and you can solve for a: (6a – 12b = –6) ⁄ 2 = 3a – 6b = –3 4a + 6b = 24 + 3a – 6b = –3 7a = 21 a = 3 Substitute the value of a into the first equation and solve for b: 4(3) + 6b = 24 12 + 6b = 24 6b = 12 b = 2 Since a = 3 and b = 2, the value of a + b = 3 + 2 = 5.

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