Solve for x
x=2\left(y-3\right)
Solve for y
y=\frac{x+6}{2}
Graph
Share
Copied to clipboard
-2\left(y-4\right)=-\left(x-2\right)
Multiply both sides of the equation by 2, the least common multiple of -1,-2.
-2y+8=-\left(x-2\right)
Use the distributive property to multiply -2 by y-4.
-2y+8=-x+2
To find the opposite of x-2, find the opposite of each term.
-x+2=-2y+8
Swap sides so that all variable terms are on the left hand side.
-x=-2y+8-2
Subtract 2 from both sides.
-x=-2y+6
Subtract 2 from 8 to get 6.
-x=6-2y
The equation is in standard form.
\frac{-x}{-1}=\frac{6-2y}{-1}
Divide both sides by -1.
x=\frac{6-2y}{-1}
Dividing by -1 undoes the multiplication by -1.
x=2y-6
Divide -2y+6 by -1.
-2\left(y-4\right)=-\left(x-2\right)
Multiply both sides of the equation by 2, the least common multiple of -1,-2.
-2y+8=-\left(x-2\right)
Use the distributive property to multiply -2 by y-4.
-2y+8=-x+2
To find the opposite of x-2, find the opposite of each term.
-2y=-x+2-8
Subtract 8 from both sides.
-2y=-x-6
Subtract 8 from 2 to get -6.
\frac{-2y}{-2}=\frac{-x-6}{-2}
Divide both sides by -2.
y=\frac{-x-6}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{x}{2}+3
Divide -x-6 by -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}