Solve for x
x=-\frac{y}{10}+\frac{1}{5}
Solve for y
y=2-10x
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-5x-y+2=5x
Anything plus zero gives itself.
-5x-y+2-5x=0
Subtract 5x from both sides.
-10x-y+2=0
Combine -5x and -5x to get -10x.
-10x+2=y
Add y to both sides. Anything plus zero gives itself.
-10x=y-2
Subtract 2 from both sides.
\frac{-10x}{-10}=\frac{y-2}{-10}
Divide both sides by -10.
x=\frac{y-2}{-10}
Dividing by -10 undoes the multiplication by -10.
x=-\frac{y}{10}+\frac{1}{5}
Divide y-2 by -10.
-5x-y+2=5x
Anything plus zero gives itself.
-y+2=5x+5x
Add 5x to both sides.
-y+2=10x
Combine 5x and 5x to get 10x.
-y=10x-2
Subtract 2 from both sides.
\frac{-y}{-1}=\frac{10x-2}{-1}
Divide both sides by -1.
y=\frac{10x-2}{-1}
Dividing by -1 undoes the multiplication by -1.
y=2-10x
Divide 10x-2 by -1.
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}