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Nonlinear equations in one variable and systems of equations in two variables SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

$6 r = 7 s + t$

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

ExplanationShow

Choice D is correct. Subtracting $t$ from both sides of the given equation yields $6 r - t = 7 s$ . Dividing both sides of this equation by $7$ yields $\frac{6 r - t}{7} = s$ . Therefore, the equation $s = \frac{6 r - t}{7}$ 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.

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Nonlinear equations in one variable and systems of equations in two variables SAT question

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