Question y-12-x

1.4 Systems of Two Linear Equations - Substitution method
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y = 12 x - 20

y = 28

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

A.

28,20

B.

20,28

C.

28,4

D.

4,28

y = 12 x - 20 y = 28 What is the solution x , y

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 A is correct. The second equation in the given system is y = 28 . Substituting 28 for y in the first equation in the given system yields 28 = 12 x - 20 . Adding 20 to both sides of this equation yields 48 = 12 x . Dividing both sides of this equation by 12 yields 4 = x . Therefore, the solution x,y to the given system of equations is 4,28.

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

Choice C is incorrect. This is the solution y,x, not x,y, to the given system of equations.

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