Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{5y+b}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&y=-\frac{b}{5}\text{ and }x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{5y+b}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&y=-\frac{b}{5}\text{ and }x=0\end{matrix}\right.
Solve for b
b=ax-5y
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ax=b+5y
Add 5y to both sides.
xa=5y+b
The equation is in standard form.
\frac{xa}{x}=\frac{5y+b}{x}
Divide both sides by x.
a=\frac{5y+b}{x}
Dividing by x undoes the multiplication by x.
ax=b+5y
Add 5y to both sides.
xa=5y+b
The equation is in standard form.
\frac{xa}{x}=\frac{5y+b}{x}
Divide both sides by x.
a=\frac{5y+b}{x}
Dividing by x undoes the multiplication by x.
b=ax-5y
Swap sides so that all variable terms are on the left hand side.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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