Solve for a
a=-\frac{b}{2}
Solve for b
b=-2a
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a\times 2=-b
Subtract b from both sides. Anything subtracted from zero gives its negation.
2a=-b
The equation is in standard form.
\frac{2a}{2}=-\frac{b}{2}
Divide both sides by 2.
a=-\frac{b}{2}
Dividing by 2 undoes the multiplication by 2.
b=-a\times 2
Subtract a\times 2 from both sides. Anything subtracted from zero gives its negation.
b=-2a
Multiply -1 and 2 to get -2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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
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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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