Solve for x
x=\frac{3}{y-108}
y\neq 108
Solve for y
y=108+\frac{3}{x}
x\neq 0
Graph
Share
Copied to clipboard
2xy-12x\times 18=6
Multiply both sides of the equation by 12, the least common multiple of 12,2.
2xy-216x=6
Multiply 12 and 18 to get 216.
\left(2y-216\right)x=6
Combine all terms containing x.
\frac{\left(2y-216\right)x}{2y-216}=\frac{6}{2y-216}
Divide both sides by 2y-216.
x=\frac{6}{2y-216}
Dividing by 2y-216 undoes the multiplication by 2y-216.
x=\frac{3}{y-108}
Divide 6 by 2y-216.
2xy-12x\times 18=6
Multiply both sides of the equation by 12, the least common multiple of 12,2.
2xy-216x=6
Multiply 12 and 18 to get 216.
2xy=6+216x
Add 216x to both sides.
2xy=216x+6
The equation is in standard form.
\frac{2xy}{2x}=\frac{216x+6}{2x}
Divide both sides by 2x.
y=\frac{216x+6}{2x}
Dividing by 2x undoes the multiplication by 2x.
y=108+\frac{3}{x}
Divide 6+216x by 2x.
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}