Solve for x
x=\frac{7}{4y-11}
y\neq \frac{11}{4}
Solve for y
y=\frac{11}{4}+\frac{7}{4x}
x\neq 0
Graph
Share
Copied to clipboard
4xy-10x-x=7
Use the distributive property to multiply 2x by 2y-5.
4xy-11x=7
Combine -10x and -x to get -11x.
\left(4y-11\right)x=7
Combine all terms containing x.
\frac{\left(4y-11\right)x}{4y-11}=\frac{7}{4y-11}
Divide both sides by 4y-11.
x=\frac{7}{4y-11}
Dividing by 4y-11 undoes the multiplication by 4y-11.
4xy-10x-x=7
Use the distributive property to multiply 2x by 2y-5.
4xy-x=7+10x
Add 10x to both sides.
4xy=7+10x+x
Add x to both sides.
4xy=7+11x
Combine 10x and x to get 11x.
4xy=11x+7
The equation is in standard form.
\frac{4xy}{4x}=\frac{11x+7}{4x}
Divide both sides by 4x.
y=\frac{11x+7}{4x}
Dividing by 4x undoes the multiplication by 4x.
y=\frac{11}{4}+\frac{7}{4x}
Divide 7+11x by 4x.
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}