Solve for x
x\neq 1
y=1
Solve for y
y=1
x\neq 1
Graph
Share
Copied to clipboard
y\left(x-1\right)=x-1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
yx-y=x-1
Use the distributive property to multiply y by x-1.
yx-y-x=-1
Subtract x from both sides.
yx-x=-1+y
Add y to both sides.
\left(y-1\right)x=-1+y
Combine all terms containing x.
\left(y-1\right)x=y-1
The equation is in standard form.
\frac{\left(y-1\right)x}{y-1}=\frac{y-1}{y-1}
Divide both sides by y-1.
x=\frac{y-1}{y-1}
Dividing by y-1 undoes the multiplication by y-1.
x=1
Divide y-1 by y-1.
x\in \emptyset
Variable x cannot be equal to 1.
y=1
Cancel out x-1 in both numerator and denominator.
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}