Solve for x
x=-\frac{6y}{5}+\frac{3}{10}
Solve for y
y=-\frac{5x}{6}+\frac{1}{4}
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3x-12y+3=13x
Multiply both sides of the equation by 13.
3x-12y+3-13x=0
Subtract 13x from both sides.
-10x-12y+3=0
Combine 3x and -13x to get -10x.
-10x+3=12y
Add 12y to both sides. Anything plus zero gives itself.
-10x=12y-3
Subtract 3 from both sides.
\frac{-10x}{-10}=\frac{12y-3}{-10}
Divide both sides by -10.
x=\frac{12y-3}{-10}
Dividing by -10 undoes the multiplication by -10.
x=-\frac{6y}{5}+\frac{3}{10}
Divide 12y-3 by -10.
3x-12y+3=13x
Multiply both sides of the equation by 13.
-12y+3=13x-3x
Subtract 3x from both sides.
-12y+3=10x
Combine 13x and -3x to get 10x.
-12y=10x-3
Subtract 3 from both sides.
\frac{-12y}{-12}=\frac{10x-3}{-12}
Divide both sides by -12.
y=\frac{10x-3}{-12}
Dividing by -12 undoes the multiplication by -12.
y=-\frac{5x}{6}+\frac{1}{4}
Divide 10x-3 by -12.
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}