Solve for x
x=-\frac{10y}{6-7y}
y\neq \frac{6}{7}
Solve for y
y=-\frac{6x}{10-7x}
x\neq \frac{10}{7}
Graph
Share
Copied to clipboard
6x+10y-7xy=0
Subtract 7xy from both sides.
6x-7xy=-10y
Subtract 10y from both sides. Anything subtracted from zero gives its negation.
\left(6-7y\right)x=-10y
Combine all terms containing x.
\frac{\left(6-7y\right)x}{6-7y}=-\frac{10y}{6-7y}
Divide both sides by 6-7y.
x=-\frac{10y}{6-7y}
Dividing by 6-7y undoes the multiplication by 6-7y.
6x+10y-7xy=0
Subtract 7xy from both sides.
10y-7xy=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
\left(10-7x\right)y=-6x
Combine all terms containing y.
\frac{\left(10-7x\right)y}{10-7x}=-\frac{6x}{10-7x}
Divide both sides by 10-7x.
y=-\frac{6x}{10-7x}
Dividing by 10-7x undoes the multiplication by 10-7x.
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}