Question 6-x-7-
The solution to the given system of equations is . What is the value of y?
6 x + 7 y = 28 2 x + 2 y = 10 The solution
Hard-difficulty · SAT Math · Systems of Two Linear Equations — Elimination method. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. The given system of linear equations can be solved by the elimination method. Multiplying each side of the second equation in the given system by yields , or . Subtracting this equation from the first equation in the given system yields , which is equivalent to , or .
Choice B is incorrect. This is the value of , not the value of .
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
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