Solve for a
a=-\frac{2b}{5}+1
Solve for b
b=\frac{5-5a}{2}
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5a=5-2b
Subtract 2b from both sides.
\frac{5a}{5}=\frac{5-2b}{5}
Divide both sides by 5.
a=\frac{5-2b}{5}
Dividing by 5 undoes the multiplication by 5.
a=-\frac{2b}{5}+1
Divide 5-2b by 5.
2b=5-5a
Subtract 5a from both sides.
\frac{2b}{2}=\frac{5-5a}{2}
Divide both sides by 2.
b=\frac{5-5a}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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