Solve for x
x=\frac{6y+11}{5}
Solve for y
y=\frac{5x-11}{6}
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5x-11=6y
Add 6y to both sides. Anything plus zero gives itself.
5x=6y+11
Add 11 to both sides.
\frac{5x}{5}=\frac{6y+11}{5}
Divide both sides by 5.
x=\frac{6y+11}{5}
Dividing by 5 undoes the multiplication by 5.
-6y-11=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
-6y=-5x+11
Add 11 to both sides.
-6y=11-5x
The equation is in standard form.
\frac{-6y}{-6}=\frac{11-5x}{-6}
Divide both sides by -6.
y=\frac{11-5x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{5x-11}{6}
Divide -5x+11 by -6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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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}