Given the equations below, what is the value of (y – x) 2 ?

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Accepted Answer

First, simplify the first equation by multiplying (x – 1) by 9: 9(x – 1) = 9x – 9. Then, add 9 and 4y to both sides of the equation. The first equation becomes 9x + 4y = 11. Then, multiply the second equation by –2 and add it to the first equation. The y terms will drop out, and you can solve for x: –2(2y + 7x = 3) = –4y – 14x = –6 –4y – 14x = –6 + 9x + 4y = 11 –5x = 5 x = –1 Substitute the value of x into the second equation and solve for y: 2y + 7(–1) = 3 2y – 7 = 3 2y = 10 y = 5 Since y = 5 and x = –1, the value of (y – x) 2 = (5 – (–1)) 2 = 6 2 = 36.

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