Solve for x
x=\frac{-4y-2}{3}
Solve for y
y=-\frac{3x}{4}-\frac{1}{2}
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3x+2=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
3x=-4y-2
Subtract 2 from both sides.
\frac{3x}{3}=\frac{-4y-2}{3}
Divide both sides by 3.
x=\frac{-4y-2}{3}
Dividing by 3 undoes the multiplication by 3.
4y+2=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
4y=-3x-2
Subtract 2 from both sides.
\frac{4y}{4}=\frac{-3x-2}{4}
Divide both sides by 4.
y=\frac{-3x-2}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x}{4}-\frac{1}{2}
Divide -3x-2 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
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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}