Question s-7-r-

1.4 Systems of Two Linear Equations - Substitution method
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s+7r=27

r=3

What is the solution r,s to the given system of equations? 

A.

(6,3)

B.

(3,6)

C.

(3,27)

D.

(27,3)

s + 7 r = 27 r = 3 What is the solution r , s

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. The second equation in the given system is r = 3 . Substituting 3 for r in the first equation in the given system yields s+73=27, or s + 21 = 27 . Subtracting 21 from both sides of this equation yields s = 6 . Therefore, the solution r,s to the given system of equations is 3,6.

Choice A is incorrect. This is the solution s,r, not r,s, to the given system of equations.

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

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