Question 3-x-12

1.4 Systems of Two Linear Equations - Substitution method
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3x=12

-3x+y=-6

The solution to the given system of equations is x,y. What is the value of y ?

A.

-3

B.

6

C.

18

D.

30

3 x = 12 - 3 x + y = - 6 The solution to the

Medium-difficulty · SAT Math · Systems of Two Linear Equations — Substitution 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 B is correct. Adding the second equation in the given system to the first equation in the given system yields 3x+(-3x+y)=12+-6, which is equivalent to y=6

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.