Solve for x
x=\frac{8y-6}{13}
Solve for y
y=\frac{13x}{8}+\frac{3}{4}
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4\left(x-2y\right)=3\left(-2-3x\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x-8y=3\left(-2-3x\right)
Use the distributive property to multiply 4 by x-2y.
4x-8y=-6-9x
Use the distributive property to multiply 3 by -2-3x.
4x-8y+9x=-6
Add 9x to both sides.
13x-8y=-6
Combine 4x and 9x to get 13x.
13x=-6+8y
Add 8y to both sides.
13x=8y-6
The equation is in standard form.
\frac{13x}{13}=\frac{8y-6}{13}
Divide both sides by 13.
x=\frac{8y-6}{13}
Dividing by 13 undoes the multiplication by 13.
4\left(x-2y\right)=3\left(-2-3x\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x-8y=3\left(-2-3x\right)
Use the distributive property to multiply 4 by x-2y.
4x-8y=-6-9x
Use the distributive property to multiply 3 by -2-3x.
-8y=-6-9x-4x
Subtract 4x from both sides.
-8y=-6-13x
Combine -9x and -4x to get -13x.
-8y=-13x-6
The equation is in standard form.
\frac{-8y}{-8}=\frac{-13x-6}{-8}
Divide both sides by -8.
y=\frac{-13x-6}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{13x}{8}+\frac{3}{4}
Divide -6-13x by -8.
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