Solve for x
x=\frac{y-2}{2}
y\neq 4
Solve for y
y=2\left(x+1\right)
x\neq 1
Graph
Share
Copied to clipboard
y-4=2\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
y-4=2x-2
Use the distributive property to multiply 2 by x-1.
2x-2=y-4
Swap sides so that all variable terms are on the left hand side.
2x=y-4+2
Add 2 to both sides.
2x=y-2
Add -4 and 2 to get -2.
\frac{2x}{2}=\frac{y-2}{2}
Divide both sides by 2.
x=\frac{y-2}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{y}{2}-1
Divide y-2 by 2.
x=\frac{y}{2}-1\text{, }x\neq 1
Variable x cannot be equal to 1.
y-4=2\left(x-1\right)
Multiply both sides of the equation by x-1.
y-4=2x-2
Use the distributive property to multiply 2 by x-1.
y=2x-2+4
Add 4 to both sides.
y=2x+2
Add -2 and 4 to get 2.
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}