Solve for x
x=\frac{8y}{7}
Solve for y
y=\frac{7x}{8}
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-5x+5y+3y=2x
Use the distributive property to multiply -5 by x-y.
-5x+8y=2x
Combine 5y and 3y to get 8y.
-5x+8y-2x=0
Subtract 2x from both sides.
-7x+8y=0
Combine -5x and -2x to get -7x.
-7x=-8y
Subtract 8y from both sides. Anything subtracted from zero gives its negation.
\frac{-7x}{-7}=-\frac{8y}{-7}
Divide both sides by -7.
x=-\frac{8y}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{8y}{7}
Divide -8y by -7.
-5x+5y+3y=2x
Use the distributive property to multiply -5 by x-y.
-5x+8y=2x
Combine 5y and 3y to get 8y.
8y=2x+5x
Add 5x to both sides.
8y=7x
Combine 2x and 5x to get 7x.
\frac{8y}{8}=\frac{7x}{8}
Divide both sides by 8.
y=\frac{7x}{8}
Dividing by 8 undoes the multiplication by 8.
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}