Question 6-r-7-

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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6r=7s+t

The given equation relates the variables r , s , and t . Which equation correctly expresses s in terms of r and t ?

A.

s=42r-t

B.

s=76r-t

C.

s=67r-t

D.

s=6r-t7

6 r = 7 s + t The given equation relates the variables r , s

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. Subtracting t from both sides of the given equation yields 6r-t=7s. Dividing both sides of this equation by 7 yields 6r-t7=s. Therefore, the equation s=6r-t7 correctly expresses s in terms of r and t .

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

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

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