Solve for x
x=-3y
Solve for y
y=-\frac{x}{3}
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4x=6\left(y+x\right)
Combine 2x and 2x to get 4x.
4x=6y+6x
Use the distributive property to multiply 6 by y+x.
4x-6x=6y
Subtract 6x from both sides.
-2x=6y
Combine 4x and -6x to get -2x.
\frac{-2x}{-2}=\frac{6y}{-2}
Divide both sides by -2.
x=\frac{6y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-3y
Divide 6y by -2.
4x=6\left(y+x\right)
Combine 2x and 2x to get 4x.
4x=6y+6x
Use the distributive property to multiply 6 by y+x.
6y+6x=4x
Swap sides so that all variable terms are on the left hand side.
6y=4x-6x
Subtract 6x from both sides.
6y=-2x
Combine 4x and -6x to get -2x.
\frac{6y}{6}=-\frac{2x}{6}
Divide both sides by 6.
y=-\frac{2x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{3}
Divide -2x by 6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
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