Solve for x
x=-\frac{y}{2}-1
Solve for y
y=-2x-2
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4x+4y+3-2y+1=0
Combine 3x and x to get 4x.
4x+2y+3+1=0
Combine 4y and -2y to get 2y.
4x+2y+4=0
Add 3 and 1 to get 4.
4x+4=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
4x=-2y-4
Subtract 4 from both sides.
\frac{4x}{4}=\frac{-2y-4}{4}
Divide both sides by 4.
x=\frac{-2y-4}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{y}{2}-1
Divide -2y-4 by 4.
4x+4y+3-2y+1=0
Combine 3x and x to get 4x.
4x+2y+3+1=0
Combine 4y and -2y to get 2y.
4x+2y+4=0
Add 3 and 1 to get 4.
2y+4=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
2y=-4x-4
Subtract 4 from both sides.
\frac{2y}{2}=\frac{-4x-4}{2}
Divide both sides by 2.
y=\frac{-4x-4}{2}
Dividing by 2 undoes the multiplication by 2.
y=-2x-2
Divide -4x-4 by 2.
Examples
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{ 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}