Solve for x
x=\frac{5y}{4}
Solve for y
y=\frac{4x}{5}
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10x+y-2x=11y
Subtract 2x from both sides.
8x+y=11y
Combine 10x and -2x to get 8x.
8x=11y-y
Subtract y from both sides.
8x=10y
Combine 11y and -y to get 10y.
\frac{8x}{8}=\frac{10y}{8}
Divide both sides by 8.
x=\frac{10y}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{5y}{4}
Divide 10y by 8.
10x+y-11y=2x
Subtract 11y from both sides.
10x-10y=2x
Combine y and -11y to get -10y.
-10y=2x-10x
Subtract 10x from both sides.
-10y=-8x
Combine 2x and -10x to get -8x.
\frac{-10y}{-10}=-\frac{8x}{-10}
Divide both sides by -10.
y=-\frac{8x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{4x}{5}
Divide -8x 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}