Solve for x
x=-\frac{5y}{3}-4
Solve for y
y=\frac{-3x-12}{5}
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3x+6y=y-4-8
Subtract 8 from both sides.
3x+6y=y-12
Subtract 8 from -4 to get -12.
3x=y-12-6y
Subtract 6y from both sides.
3x=-5y-12
Combine y and -6y to get -5y.
\frac{3x}{3}=\frac{-5y-12}{3}
Divide both sides by 3.
x=\frac{-5y-12}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{5y}{3}-4
Divide -5y-12 by 3.
3x+8+6y-y=-4
Subtract y from both sides.
3x+8+5y=-4
Combine 6y and -y to get 5y.
8+5y=-4-3x
Subtract 3x from both sides.
5y=-4-3x-8
Subtract 8 from both sides.
5y=-12-3x
Subtract 8 from -4 to get -12.
5y=-3x-12
The equation is in standard form.
\frac{5y}{5}=\frac{-3x-12}{5}
Divide both sides by 5.
y=\frac{-3x-12}{5}
Dividing by 5 undoes the multiplication by 5.
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
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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}