Solve for x
x=6-5y
Solve for y
y=\frac{6-x}{5}
Graph
Share
Copied to clipboard
3\left(x+y\right)-2\left(x-y\right)=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+3y-2\left(x-y\right)=6
Use the distributive property to multiply 3 by x+y.
3x+3y-2x+2y=6
Use the distributive property to multiply -2 by x-y.
x+3y+2y=6
Combine 3x and -2x to get x.
x+5y=6
Combine 3y and 2y to get 5y.
x=6-5y
Subtract 5y from both sides.
3\left(x+y\right)-2\left(x-y\right)=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+3y-2\left(x-y\right)=6
Use the distributive property to multiply 3 by x+y.
3x+3y-2x+2y=6
Use the distributive property to multiply -2 by x-y.
x+3y+2y=6
Combine 3x and -2x to get x.
x+5y=6
Combine 3y and 2y to get 5y.
5y=6-x
Subtract x from both sides.
\frac{5y}{5}=\frac{6-x}{5}
Divide both sides by 5.
y=\frac{6-x}{5}
Dividing by 5 undoes the multiplication by 5.
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}