Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{5x+b-3}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&x=0\text{ and }b=3\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{5x+b-3}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&x=0\text{ and }b=3\end{matrix}\right.
Solve for b
b=ax-5x+3
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ax=5x+b-3
Subtract 3 from both sides.
xa=5x+b-3
The equation is in standard form.
\frac{xa}{x}=\frac{5x+b-3}{x}
Divide both sides by x.
a=\frac{5x+b-3}{x}
Dividing by x undoes the multiplication by x.
ax=5x+b-3
Subtract 3 from both sides.
xa=5x+b-3
The equation is in standard form.
\frac{xa}{x}=\frac{5x+b-3}{x}
Divide both sides by x.
a=\frac{5x+b-3}{x}
Dividing by x undoes the multiplication by x.
5x+b=ax+3
Swap sides so that all variable terms are on the left hand side.
b=ax+3-5x
Subtract 5x from both sides.
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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