Solve for x
\left\{\begin{matrix}x=-\frac{x_{2}-x_{4}+2x_{5}-1}{f-3}\text{, }&f\neq 3\\x\in \mathrm{R}\text{, }&x_{5}=\frac{1+x_{4}-x_{2}}{2}\text{ and }f=3\end{matrix}\right.
Graph
Share
Copied to clipboard
fx-3x=-2x_{5}+x_{4}-x_{2}+1
Subtract 3x from both sides.
\left(f-3\right)x=-2x_{5}+x_{4}-x_{2}+1
Combine all terms containing x.
\left(f-3\right)x=1-2x_{5}+x_{4}-x_{2}
The equation is in standard form.
\frac{\left(f-3\right)x}{f-3}=\frac{1-2x_{5}+x_{4}-x_{2}}{f-3}
Divide both sides by f-3.
x=\frac{1-2x_{5}+x_{4}-x_{2}}{f-3}
Dividing by f-3 undoes the multiplication by f-3.
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}