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