Solve for p (complex solution)
\left\{\begin{matrix}p=\frac{8x+y+2}{x}\text{, }&x\neq 0\\p\in \mathrm{C}\text{, }&x=0\text{ and }y=-2\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{y+2}{8-p}\text{, }&p\neq 8\\x\in \mathrm{C}\text{, }&y=-2\text{ and }p=8\end{matrix}\right.
Solve for p
\left\{\begin{matrix}p=\frac{8x+y+2}{x}\text{, }&x\neq 0\\p\in \mathrm{R}\text{, }&x=0\text{ and }y=-2\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{y+2}{8-p}\text{, }&p\neq 8\\x\in \mathrm{R}\text{, }&y=-2\text{ and }p=8\end{matrix}\right.
Graph
Share
Copied to clipboard
\left(-p\right)x=-8x-2-y
Subtract y from both sides.
-px=-8x-y-2
Reorder the terms.
\left(-x\right)p=-8x-y-2
The equation is in standard form.
\frac{\left(-x\right)p}{-x}=\frac{-8x-y-2}{-x}
Divide both sides by -x.
p=\frac{-8x-y-2}{-x}
Dividing by -x undoes the multiplication by -x.
p=\frac{y+2}{x}+8
Divide -8x-y-2 by -x.
\left(-p\right)x+y+8x=-2
Add 8x to both sides.
\left(-p\right)x+8x=-2-y
Subtract y from both sides.
-px+8x=-y-2
Reorder the terms.
\left(-p+8\right)x=-y-2
Combine all terms containing x.
\left(8-p\right)x=-y-2
The equation is in standard form.
\frac{\left(8-p\right)x}{8-p}=\frac{-y-2}{8-p}
Divide both sides by -p+8.
x=\frac{-y-2}{8-p}
Dividing by -p+8 undoes the multiplication by -p+8.
x=-\frac{y+2}{8-p}
Divide -y-2 by -p+8.
\left(-p\right)x=-8x-2-y
Subtract y from both sides.
-px=-8x-y-2
Reorder the terms.
\left(-x\right)p=-8x-y-2
The equation is in standard form.
\frac{\left(-x\right)p}{-x}=\frac{-8x-y-2}{-x}
Divide both sides by -x.
p=\frac{-8x-y-2}{-x}
Dividing by -x undoes the multiplication by -x.
p=\frac{y+2}{x}+8
Divide -8x-y-2 by -x.
\left(-p\right)x+y+8x=-2
Add 8x to both sides.
\left(-p\right)x+8x=-2-y
Subtract y from both sides.
-px+8x=-y-2
Reorder the terms.
\left(-p+8\right)x=-y-2
Combine all terms containing x.
\left(8-p\right)x=-y-2
The equation is in standard form.
\frac{\left(8-p\right)x}{8-p}=\frac{-y-2}{8-p}
Divide both sides by -p+8.
x=\frac{-y-2}{8-p}
Dividing by -p+8 undoes the multiplication by -p+8.
x=-\frac{y+2}{8-p}
Divide -y-2 by -p+8.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}