Solve for B
\left\{\begin{matrix}B=\frac{Dx-y-C}{x}\text{, }&x\neq 0\\B\in \mathrm{R}\text{, }&y=-C\text{ and }x=0\end{matrix}\right.
Solve for C
C=Dx-Bx-y
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Dx-Bx-C=y
Swap sides so that all variable terms are on the left hand side.
-Bx-C=y-Dx
Subtract Dx from both sides.
-Bx=y-Dx+C
Add C to both sides.
\left(-x\right)B=C+y-Dx
The equation is in standard form.
\frac{\left(-x\right)B}{-x}=\frac{C+y-Dx}{-x}
Divide both sides by -x.
B=\frac{C+y-Dx}{-x}
Dividing by -x undoes the multiplication by -x.
B=-\frac{C+y-Dx}{x}
Divide y-Dx+C by -x.
Dx-Bx-C=y
Swap sides so that all variable terms are on the left hand side.
-Bx-C=y-Dx
Subtract Dx from both sides.
-C=y-Dx+Bx
Add Bx to both sides.
-C=Bx-Dx+y
The equation is in standard form.
\frac{-C}{-1}=\frac{Bx-Dx+y}{-1}
Divide both sides by -1.
C=\frac{Bx-Dx+y}{-1}
Dividing by -1 undoes the multiplication by -1.
C=-\left(Bx-Dx+y\right)
Divide y-Dx+Bx by -1.
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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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