If $\frac{x-1}{3}=k$ and $k=3$, what is the value of $x ?$
SAT · Math · previous-year question
- A.2
- B.4
- C.9
- D.10correct
Answer
D. 10
Explanation
Choice D is correct. Since $k=3$, one can substitute 3 for $k$ in the equation $\frac{x-1}{3}=k$, which gives $\frac{x-1}{3}=3$. Multiplying both sides of $\frac{x-1}{3}=3$ by 3 gives $x-1=9$ and then adding 1 to both sides of $x-1=9$ gives $x=10$.Choices $\mathrm{A}, \mathrm{B}$, and $\mathrm{C}$ are incorrect because the result of subtracting 1 from the value and dividing by 3 is not the given value of $k$, which is 3 .
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