Solve for y
y=\frac{\left(15-2\sqrt{2}\right)x}{217}
Solve for x
x=\left(2\sqrt{2}+15\right)y
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x-15y-2\sqrt{2}y=0
Multiply -1 and 2 to get -2.
-15y-2\sqrt{2}y=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
\left(-15-2\sqrt{2}\right)y=-x
Combine all terms containing y.
\left(-2\sqrt{2}-15\right)y=-x
The equation is in standard form.
\frac{\left(-2\sqrt{2}-15\right)y}{-2\sqrt{2}-15}=-\frac{x}{-2\sqrt{2}-15}
Divide both sides by -15-2\sqrt{2}.
y=-\frac{x}{-2\sqrt{2}-15}
Dividing by -15-2\sqrt{2} undoes the multiplication by -15-2\sqrt{2}.
y=\frac{\left(15-2\sqrt{2}\right)x}{217}
Divide -x by -15-2\sqrt{2}.
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