Solve for a
a=-\frac{y}{9}+x
Solve for x
x=\frac{y}{9}+a
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y=9x-9a
Use the distributive property to multiply 9 by x-a.
9x-9a=y
Swap sides so that all variable terms are on the left hand side.
-9a=y-9x
Subtract 9x from both sides.
\frac{-9a}{-9}=\frac{y-9x}{-9}
Divide both sides by -9.
a=\frac{y-9x}{-9}
Dividing by -9 undoes the multiplication by -9.
a=-\frac{y}{9}+x
Divide y-9x by -9.
y=9x-9a
Use the distributive property to multiply 9 by x-a.
9x-9a=y
Swap sides so that all variable terms are on the left hand side.
9x=y+9a
Add 9a to both sides.
\frac{9x}{9}=\frac{y+9a}{9}
Divide both sides by 9.
x=\frac{y+9a}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{y}{9}+a
Divide y+9a by 9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}