Solve for x
x=\frac{2-4y}{3}
Solve for y
y=-\frac{3x}{4}+\frac{1}{2}
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3x+2y+2-6x=6y
Subtract 6x from both sides.
-3x+2y+2=6y
Combine 3x and -6x to get -3x.
-3x+2=6y-2y
Subtract 2y from both sides.
-3x+2=4y
Combine 6y and -2y to get 4y.
-3x=4y-2
Subtract 2 from both sides.
\frac{-3x}{-3}=\frac{4y-2}{-3}
Divide both sides by -3.
x=\frac{4y-2}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{2-4y}{3}
Divide 4y-2 by -3.
3x+2y+2-6y=6x
Subtract 6y from both sides.
3x-4y+2=6x
Combine 2y and -6y to get -4y.
-4y+2=6x-3x
Subtract 3x from both sides.
-4y+2=3x
Combine 6x and -3x to get 3x.
-4y=3x-2
Subtract 2 from both sides.
\frac{-4y}{-4}=\frac{3x-2}{-4}
Divide both sides by -4.
y=\frac{3x-2}{-4}
Dividing by -4 undoes the multiplication by -4.
y=-\frac{3x}{4}+\frac{1}{2}
Divide 3x-2 by -4.
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}