Given the equations below, what is the value of x ⁄ y ?

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Accepted Answer

First, simplify the second equation by subtracting 9 from both sides of the equation. The second equation becomes –2x – 6 = y. Then, multiply the equation by 2 and add it to the first equation. The x terms will drop out, and you can solve for y: 2(–2x – 6 = y) = –4x – 12 = 2y –4x – 12 = 2y + 4x + 6 = –3y –6 = –y y = 6 Substitute the value of y into the first equation and solve for x: 4x + 6 = –3(6) 4x + 6 = –18 4x = –24 x = –6 Since x = –6 and y = 6, the value of x ⁄ y = –6 ⁄ 6 = –1.

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