Solve for x
x=\frac{2y}{3}
Solve for y
y=\frac{3x}{2}
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1y+5x+x=5y
Add x to both sides.
1y+6x=5y
Combine 5x and x to get 6x.
6x=5y-y
Subtract 1y from both sides.
6x=4y
Combine 5y and -y to get 4y.
\frac{6x}{6}=\frac{4y}{6}
Divide both sides by 6.
x=\frac{4y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{2y}{3}
Divide 4y by 6.
1y+5x-5y=-x
Subtract 5y from both sides.
-4y+5x=-x
Combine 1y and -5y to get -4y.
-4y=-x-5x
Subtract 5x from both sides.
-4y=-6x
Combine -x and -5x to get -6x.
\frac{-4y}{-4}=-\frac{6x}{-4}
Divide both sides by -4.
y=-\frac{6x}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{3x}{2}
Divide -6x by -4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}