Solve for x
x=\frac{8y}{9}
Solve for y
y=\frac{9x}{8}
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8\left(2x-y\right)-5x=2x
Multiply both sides of the equation by 40, the least common multiple of 5,8,20.
16x-8y-5x=2x
Use the distributive property to multiply 8 by 2x-y.
11x-8y=2x
Combine 16x and -5x to get 11x.
11x-8y-2x=0
Subtract 2x from both sides.
9x-8y=0
Combine 11x and -2x to get 9x.
9x=8y
Add 8y to both sides. Anything plus zero gives itself.
\frac{9x}{9}=\frac{8y}{9}
Divide both sides by 9.
x=\frac{8y}{9}
Dividing by 9 undoes the multiplication by 9.
8\left(2x-y\right)-5x=2x
Multiply both sides of the equation by 40, the least common multiple of 5,8,20.
16x-8y-5x=2x
Use the distributive property to multiply 8 by 2x-y.
11x-8y=2x
Combine 16x and -5x to get 11x.
-8y=2x-11x
Subtract 11x from both sides.
-8y=-9x
Combine 2x and -11x to get -9x.
\frac{-8y}{-8}=-\frac{9x}{-8}
Divide both sides by -8.
y=-\frac{9x}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{9x}{8}
Divide -9x by -8.
Examples
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{ 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}