Solve for x
x=-5y
Solve for y
y=-\frac{x}{5}
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4x+4y-2x=-6y
Subtract 2x from both sides.
2x+4y=-6y
Combine 4x and -2x to get 2x.
2x=-6y-4y
Subtract 4y from both sides.
2x=-10y
Combine -6y and -4y to get -10y.
\frac{2x}{2}=-\frac{10y}{2}
Divide both sides by 2.
x=-\frac{10y}{2}
Dividing by 2 undoes the multiplication by 2.
x=-5y
Divide -10y by 2.
4x+4y+6y=2x
Add 6y to both sides.
4x+10y=2x
Combine 4y and 6y to get 10y.
10y=2x-4x
Subtract 4x from both sides.
10y=-2x
Combine 2x and -4x to get -2x.
\frac{10y}{10}=-\frac{2x}{10}
Divide both sides by 10.
y=-\frac{2x}{10}
Dividing by 10 undoes the multiplication by 10.
y=-\frac{x}{5}
Divide -2x by 10.
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}