Solve for x
x=\frac{16-9y}{7}
Solve for y
y=\frac{16-7x}{9}
Graph
Share
Copied to clipboard
x-y=8x+8y-16
Use the distributive property to multiply 8 by x+y-2.
x-y-8x=8y-16
Subtract 8x from both sides.
-7x-y=8y-16
Combine x and -8x to get -7x.
-7x=8y-16+y
Add y to both sides.
-7x=9y-16
Combine 8y and y to get 9y.
\frac{-7x}{-7}=\frac{9y-16}{-7}
Divide both sides by -7.
x=\frac{9y-16}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{16-9y}{7}
Divide 9y-16 by -7.
x-y=8x+8y-16
Use the distributive property to multiply 8 by x+y-2.
x-y-8y=8x-16
Subtract 8y from both sides.
x-9y=8x-16
Combine -y and -8y to get -9y.
-9y=8x-16-x
Subtract x from both sides.
-9y=7x-16
Combine 8x and -x to get 7x.
\frac{-9y}{-9}=\frac{7x-16}{-9}
Divide both sides by -9.
y=\frac{7x-16}{-9}
Dividing by -9 undoes the multiplication by -9.
y=\frac{16-7x}{9}
Divide 7x-16 by -9.
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}