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