Solve for x
x=\frac{z-8y}{6}
Solve for y
y=\frac{z-6x}{8}
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6x+8y=z
Swap sides so that all variable terms are on the left hand side.
6x=z-8y
Subtract 8y from both sides.
\frac{6x}{6}=\frac{z-8y}{6}
Divide both sides by 6.
x=\frac{z-8y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{z}{6}-\frac{4y}{3}
Divide z-8y by 6.
6x+8y=z
Swap sides so that all variable terms are on the left hand side.
8y=z-6x
Subtract 6x from both sides.
\frac{8y}{8}=\frac{z-6x}{8}
Divide both sides by 8.
y=\frac{z-6x}{8}
Dividing by 8 undoes the multiplication by 8.
y=\frac{z}{8}-\frac{3x}{4}
Divide z-6x by 8.
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