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

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Solve the second equation for y in terms of x; 2x – y = 9, –y = –2x + 9, y = 2x – 9. Substitute this expression for y in the first equation and solve for x: x + 2x – 9 ⁄ 3 = 8 3x – 9 ⁄ 3 = 8 x – 3 = 8 x = 11 Substitute the value of x into the second equation and solve for y: 2(11) – y = 9 22 – y = 9 –y = –13 y = 13 Since x = 11 and y = 13, the value of x – y = 11 – 13 = –2.

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