Solve for a
a=\frac{y-3b}{2}
Solve for b
b=\frac{y-2a}{3}
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2a=y-3b
Subtract 3b from both sides.
\frac{2a}{2}=\frac{y-3b}{2}
Divide both sides by 2.
a=\frac{y-3b}{2}
Dividing by 2 undoes the multiplication by 2.
3b=y-2a
Subtract 2a from both sides.
\frac{3b}{3}=\frac{y-2a}{3}
Divide both sides by 3.
b=\frac{y-2a}{3}
Dividing by 3 undoes the multiplication by 3.
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
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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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