Solve for a
a=\frac{3b}{2}-\frac{u}{2}+1
Solve for b
b=\frac{u+2a-2}{3}
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3b-2a+2=u
Swap sides so that all variable terms are on the left hand side.
-2a+2=u-3b
Subtract 3b from both sides.
-2a=u-3b-2
Subtract 2 from both sides.
\frac{-2a}{-2}=\frac{u-3b-2}{-2}
Divide both sides by -2.
a=\frac{u-3b-2}{-2}
Dividing by -2 undoes the multiplication by -2.
a=\frac{3b}{2}-\frac{u}{2}+1
Divide u-3b-2 by -2.
3b-2a+2=u
Swap sides so that all variable terms are on the left hand side.
3b+2=u+2a
Add 2a to both sides.
3b=u+2a-2
Subtract 2 from both sides.
\frac{3b}{3}=\frac{u+2a-2}{3}
Divide both sides by 3.
b=\frac{u+2a-2}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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y = 3x + 4
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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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