Solve for x
x=\frac{y}{4}-\frac{5}{12}
Solve for y
y=4x+\frac{5}{3}
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6y-24x=10
Multiply -10 and -1 to get 10.
-24x=10-6y
Subtract 6y from both sides.
\frac{-24x}{-24}=\frac{10-6y}{-24}
Divide both sides by -24.
x=\frac{10-6y}{-24}
Dividing by -24 undoes the multiplication by -24.
x=\frac{y}{4}-\frac{5}{12}
Divide 10-6y by -24.
6y-24x=10
Multiply -10 and -1 to get 10.
6y=10+24x
Add 24x to both sides.
6y=24x+10
The equation is in standard form.
\frac{6y}{6}=\frac{24x+10}{6}
Divide both sides by 6.
y=\frac{24x+10}{6}
Dividing by 6 undoes the multiplication by 6.
y=4x+\frac{5}{3}
Divide 10+24x by 6.
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