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