Solve for h
\left\{\begin{matrix}h=-\frac{3-y}{x+1}\text{, }&x\neq -1\\h\in \mathrm{R}\text{, }&y=3\text{ and }x=-1\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{3+h-y}{h}\text{, }&h\neq 0\\x\in \mathrm{R}\text{, }&y=3\text{ and }h=0\end{matrix}\right.
Graph
Share
Copied to clipboard
y=hx+h+3
Use the distributive property to multiply h by x+1.
hx+h+3=y
Swap sides so that all variable terms are on the left hand side.
hx+h=y-3
Subtract 3 from both sides.
\left(x+1\right)h=y-3
Combine all terms containing h.
\frac{\left(x+1\right)h}{x+1}=\frac{y-3}{x+1}
Divide both sides by x+1.
h=\frac{y-3}{x+1}
Dividing by x+1 undoes the multiplication by x+1.
y=hx+h+3
Use the distributive property to multiply h by x+1.
hx+h+3=y
Swap sides so that all variable terms are on the left hand side.
hx+3=y-h
Subtract h from both sides.
hx=y-h-3
Subtract 3 from both sides.
\frac{hx}{h}=\frac{y-h-3}{h}
Divide both sides by h.
x=\frac{y-h-3}{h}
Dividing by h undoes the multiplication by h.
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}