Solve for x
x=18y-\frac{23}{4}
Solve for y
y=\frac{x}{18}+\frac{23}{72}
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\frac{1}{2}x-9y=-\frac{23}{8}
Fraction \frac{-23}{8} can be rewritten as -\frac{23}{8} by extracting the negative sign.
\frac{1}{2}x=-\frac{23}{8}+9y
Add 9y to both sides.
\frac{1}{2}x=9y-\frac{23}{8}
The equation is in standard form.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{9y-\frac{23}{8}}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{9y-\frac{23}{8}}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=18y-\frac{23}{4}
Divide -\frac{23}{8}+9y by \frac{1}{2} by multiplying -\frac{23}{8}+9y by the reciprocal of \frac{1}{2}.
\frac{1}{2}x-9y=-\frac{23}{8}
Fraction \frac{-23}{8} can be rewritten as -\frac{23}{8} by extracting the negative sign.
-9y=-\frac{23}{8}-\frac{1}{2}x
Subtract \frac{1}{2}x from both sides.
-9y=-\frac{x}{2}-\frac{23}{8}
The equation is in standard form.
\frac{-9y}{-9}=\frac{-\frac{x}{2}-\frac{23}{8}}{-9}
Divide both sides by -9.
y=\frac{-\frac{x}{2}-\frac{23}{8}}{-9}
Dividing by -9 undoes the multiplication by -9.
y=\frac{x}{18}+\frac{23}{72}
Divide -\frac{23}{8}-\frac{x}{2} by -9.
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