Solve for x
x=\frac{6y+3}{5}
Solve for y
y=\frac{5x}{6}-\frac{1}{2}
Graph
Share
Copied to clipboard
10x=6+12y
Add 12y to both sides.
10x=12y+6
The equation is in standard form.
\frac{10x}{10}=\frac{12y+6}{10}
Divide both sides by 10.
x=\frac{12y+6}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{6y+3}{5}
Divide 6+12y by 10.
-12y=6-10x
Subtract 10x from both sides.
\frac{-12y}{-12}=\frac{6-10x}{-12}
Divide both sides by -12.
y=\frac{6-10x}{-12}
Dividing by -12 undoes the multiplication by -12.
y=\frac{5x}{6}-\frac{1}{2}
Divide 6-10x 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}