Problem
Maps Holly Bicerano \[ \begin{array}{l} x+r=4 x-9 \\ y+s=4 y-9 \end{array} \] In the equations above, $r$ and s are constants. If $r$ is $s+\frac{1}{2}$, which of the following is true? A) $x$ is $y \min \operatorname{mis} \frac{1}{8}$ B) $x$ is $y$ mins 1 C) $x$ is $y$ plus $\frac{1}{6}$ D) $x$ is $y$ plus $\frac{1}{4}$ 5 Hardest SAT Math Questions - Holly Bicerano Visit Images may be subject to copyright. Learn More
Solution
Step 1 ：\(\begin{array}{l} x+r=4x-9 \\ y+s=4y-9 \end{array}\)
Step 2 ：\(r = 3x - 9\)
Step 3 ：\(s = 3y - 9\)
Step 4 ：\(r = s + \frac{1}{2}\)
Step 5 ：\(3x - 9 = 3y - 8.5\)
Step 6 ：\(x = y + \frac{1}{6}\)
Step 7 ：\(\boxed{x = y + \frac{1}{6}}\)
