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
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Answer

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Answer

\(\boxed{x = y + \frac{1}{6}}\)

Steps

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 :\(\boxed{x = y + \frac{1}{6}}\)

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