Solve for g
g=\frac{x-3h}{4}
Solve for h
h=\frac{x-4g}{3}
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4g+3h=x
Swap sides so that all variable terms are on the left hand side.
4g=x-3h
Subtract 3h from both sides.
\frac{4g}{4}=\frac{x-3h}{4}
Divide both sides by 4.
g=\frac{x-3h}{4}
Dividing by 4 undoes the multiplication by 4.
4g+3h=x
Swap sides so that all variable terms are on the left hand side.
3h=x-4g
Subtract 4g from both sides.
\frac{3h}{3}=\frac{x-4g}{3}
Divide both sides by 3.
h=\frac{x-4g}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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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