Solve for k
k=\frac{y}{3}-\frac{x}{6}
Solve for x
x=2\left(y-3k\right)
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\frac{1}{2}x+3k=y
Swap sides so that all variable terms are on the left hand side.
3k=y-\frac{1}{2}x
Subtract \frac{1}{2}x from both sides.
3k=-\frac{x}{2}+y
The equation is in standard form.
\frac{3k}{3}=\frac{-\frac{x}{2}+y}{3}
Divide both sides by 3.
k=\frac{-\frac{x}{2}+y}{3}
Dividing by 3 undoes the multiplication by 3.
k=\frac{y}{3}-\frac{x}{6}
Divide y-\frac{x}{2} by 3.
\frac{1}{2}x+3k=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=y-3k
Subtract 3k from both sides.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-3k}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{y-3k}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2y-6k
Divide y-3k by \frac{1}{2} by multiplying y-3k by the reciprocal of \frac{1}{2}.
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