Solve for x
x=-\frac{13y}{12}-\frac{4}{3}
Solve for y
y=\frac{-12x-16}{13}
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-3x-21-9x=13y-5
Subtract 9x from both sides.
-12x-21=13y-5
Combine -3x and -9x to get -12x.
-12x=13y-5+21
Add 21 to both sides.
-12x=13y+16
Add -5 and 21 to get 16.
\frac{-12x}{-12}=\frac{13y+16}{-12}
Divide both sides by -12.
x=\frac{13y+16}{-12}
Dividing by -12 undoes the multiplication by -12.
x=-\frac{13y}{12}-\frac{4}{3}
Divide 13y+16 by -12.
13y+9x-5=-3x-21
Swap sides so that all variable terms are on the left hand side.
13y-5=-3x-21-9x
Subtract 9x from both sides.
13y-5=-12x-21
Combine -3x and -9x to get -12x.
13y=-12x-21+5
Add 5 to both sides.
13y=-12x-16
Add -21 and 5 to get -16.
\frac{13y}{13}=\frac{-12x-16}{13}
Divide both sides by 13.
y=\frac{-12x-16}{13}
Dividing by 13 undoes the multiplication by 13.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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
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