Solve for a
a=-\frac{4c}{5}+b
Solve for b
b=\frac{4c}{5}+a
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3a-2b+4c+2a=3b
Add 2a to both sides.
5a-2b+4c=3b
Combine 3a and 2a to get 5a.
5a+4c=3b+2b
Add 2b to both sides.
5a+4c=5b
Combine 3b and 2b to get 5b.
5a=5b-4c
Subtract 4c from both sides.
\frac{5a}{5}=\frac{5b-4c}{5}
Divide both sides by 5.
a=\frac{5b-4c}{5}
Dividing by 5 undoes the multiplication by 5.
a=-\frac{4c}{5}+b
Divide 5b-4c by 5.
3a-2b+4c-3b=-2a
Subtract 3b from both sides.
3a-5b+4c=-2a
Combine -2b and -3b to get -5b.
-5b+4c=-2a-3a
Subtract 3a from both sides.
-5b+4c=-5a
Combine -2a and -3a to get -5a.
-5b=-5a-4c
Subtract 4c from both sides.
\frac{-5b}{-5}=\frac{-5a-4c}{-5}
Divide both sides by -5.
b=\frac{-5a-4c}{-5}
Dividing by -5 undoes the multiplication by -5.
b=\frac{4c}{5}+a
Divide -5a-4c by -5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}