Solve for a
\left\{\begin{matrix}a=\frac{x}{2b}\text{, }&x\neq 0\text{ and }b\neq 0\\a\neq 0\text{, }&b=0\text{ and }x=0\end{matrix}\right.
Solve for b
b=\frac{x}{2a}
a\neq 0
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2x-x=b\times 2a
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a, the least common multiple of a,2a.
b\times 2a=2x-x
Swap sides so that all variable terms are on the left hand side.
b\times 2a=x
Combine 2x and -x to get x.
2ba=x
The equation is in standard form.
\frac{2ba}{2b}=\frac{x}{2b}
Divide both sides by 2b.
a=\frac{x}{2b}
Dividing by 2b undoes the multiplication by 2b.
a=\frac{x}{2b}\text{, }a\neq 0
Variable a cannot be equal to 0.
2x-x=b\times 2a
Multiply both sides of the equation by 2a, the least common multiple of a,2a.
b\times 2a=2x-x
Swap sides so that all variable terms are on the left hand side.
b\times 2a=x
Combine 2x and -x to get x.
2ab=x
The equation is in standard form.
\frac{2ab}{2a}=\frac{x}{2a}
Divide both sides by 2a.
b=\frac{x}{2a}
Dividing by 2a undoes the multiplication by 2a.
Examples
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Matrix
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Simultaneous equation
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Differentiation
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Integration
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Limits
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