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3y = 4x+17 −3y = 9x−23 The solution to the given system of equations is (x,y) 39x. What is the value of? −18
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. Adding the second equation to the first equation in the given 3 -3 =4 +9 +17-23 0=13 -6 system of equations yields y y x x , or x . Adding 6 6=13 to each side of this equation yields x. Multiplying each side of this equation 18=39 39 18 by 3 yields x. Therefore, the value of x is . -39 39 Choice A is incorrect. This is the value of x, not x. Choice B is incorrect. -13 39 13 This is the value of x, not x. Choice C is incorrect. This is the value of x, 39 not x.
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