= 9 +12 y x +7 = 20 x y The solution to the given system of equations is (x,y). What is the value of y?
Correct answer: 3 (parsed from the explanation — this source omits an answer key for this item)
Explanation
=9 +12 9 +12 The correct answer is 3. It’s given that y x . Substituting x for y in +7 =20 +7 9 +12 =20 the second equation in the system, x y , yields x ^ x h , which +63 +84=20 64 +84=20 84 gives x x , or x . Subtracting from each side of this 64 =-64 64 equation yields x . Dividing each side of this equation by yields =- - =9 +12 x 1. Substituting 1 for x in the first equation in the system, y x , =9 -1 +12 = yields y ^ h , or y 3. Therefore, the value of y is 3.
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