Solve for x
x=-\frac{3y}{4}+6
Solve for y
y=-\frac{4x}{3}+8
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4x+3y=24
Multiply both sides of the equation by 24, the least common multiple of 6,8.
4x=24-3y
Subtract 3y from both sides.
\frac{4x}{4}=\frac{24-3y}{4}
Divide both sides by 4.
x=\frac{24-3y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{3y}{4}+6
Divide 24-3y by 4.
4x+3y=24
Multiply both sides of the equation by 24, the least common multiple of 6,8.
3y=24-4x
Subtract 4x from both sides.
\frac{3y}{3}=\frac{24-4x}{3}
Divide both sides by 3.
y=\frac{24-4x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{4x}{3}+8
Divide 24-4x by 3.
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