Solve for C
C=-x+101-\frac{1}{y}
y\neq 0
Solve for x
x=-C+101-\frac{1}{y}
y\neq 0
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y\times 101-1=yx+yC
Multiply both sides of the equation by y.
yx+yC=y\times 101-1
Swap sides so that all variable terms are on the left hand side.
yC=y\times 101-1-yx
Subtract yx from both sides.
yC=-xy+101y-1
The equation is in standard form.
\frac{yC}{y}=\frac{-xy+101y-1}{y}
Divide both sides by y.
C=\frac{-xy+101y-1}{y}
Dividing by y undoes the multiplication by y.
C=-x+101-\frac{1}{y}
Divide -1+101y-yx by y.
y\times 101-1=yx+yC
Multiply both sides of the equation by y.
yx+yC=y\times 101-1
Swap sides so that all variable terms are on the left hand side.
yx=y\times 101-1-yC
Subtract yC from both sides.
yx=-Cy+101y-1
The equation is in standard form.
\frac{yx}{y}=\frac{-Cy+101y-1}{y}
Divide both sides by y.
x=\frac{-Cy+101y-1}{y}
Dividing by y undoes the multiplication by y.
x=-C+101-\frac{1}{y}
Divide -Cy+101y-1 by y.
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