Solve for f
f=-\frac{h}{2}-\frac{5g}{2}+4x
Solve for g
g=\frac{8x-h-2f}{5}
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-2f=5g+h-8x
Subtract 8x from both sides.
\frac{-2f}{-2}=\frac{5g+h-8x}{-2}
Divide both sides by -2.
f=\frac{5g+h-8x}{-2}
Dividing by -2 undoes the multiplication by -2.
f=-\frac{h}{2}-\frac{5g}{2}+4x
Divide 5g+h-8x by -2.
5g+h=8x-2f
Swap sides so that all variable terms are on the left hand side.
5g=8x-2f-h
Subtract h from both sides.
5g=8x-h-2f
The equation is in standard form.
\frac{5g}{5}=\frac{8x-h-2f}{5}
Divide both sides by 5.
g=\frac{8x-h-2f}{5}
Dividing by 5 undoes the multiplication by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}