Solve for x
x=69-12y
Solve for y
y=-\frac{x}{12}+\frac{23}{4}
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\frac{1}{3}x-23=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
\frac{1}{3}x=-4y+23
Add 23 to both sides.
\frac{1}{3}x=23-4y
The equation is in standard form.
\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{23-4y}{\frac{1}{3}}
Multiply both sides by 3.
x=\frac{23-4y}{\frac{1}{3}}
Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.
x=69-12y
Divide -4y+23 by \frac{1}{3} by multiplying -4y+23 by the reciprocal of \frac{1}{3}.
4y-23=-\frac{1}{3}x
Subtract \frac{1}{3}x from both sides. Anything subtracted from zero gives its negation.
4y=-\frac{1}{3}x+23
Add 23 to both sides.
4y=-\frac{x}{3}+23
The equation is in standard form.
\frac{4y}{4}=\frac{-\frac{x}{3}+23}{4}
Divide both sides by 4.
y=\frac{-\frac{x}{3}+23}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{x}{12}+\frac{23}{4}
Divide -\frac{x}{3}+23 by 4.
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