Solve for L
L=\frac{c+5d}{8}
Solve for c
c=8L-5d
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\frac{5+3}{5}L-\frac{c}{5}=d
Multiply 1 and 5 to get 5.
\frac{8}{5}L-\frac{c}{5}=d
Add 5 and 3 to get 8.
\frac{8}{5}L=d+\frac{c}{5}
Add \frac{c}{5} to both sides.
8L=5d+c
Multiply both sides of the equation by 5.
8L=c+5d
The equation is in standard form.
\frac{8L}{8}=\frac{c+5d}{8}
Divide both sides by 8.
L=\frac{c+5d}{8}
Dividing by 8 undoes the multiplication by 8.
\frac{5+3}{5}L-\frac{c}{5}=d
Multiply 1 and 5 to get 5.
\frac{8}{5}L-\frac{c}{5}=d
Add 5 and 3 to get 8.
-\frac{c}{5}=d-\frac{8}{5}L
Subtract \frac{8}{5}L from both sides.
-c=5d-8L
Multiply both sides of the equation by 5.
\frac{-c}{-1}=\frac{5d-8L}{-1}
Divide both sides by -1.
c=\frac{5d-8L}{-1}
Dividing by -1 undoes the multiplication by -1.
c=8L-5d
Divide -8L+5d by -1.
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}