Solve for x
x=y-11
Solve for y
y=x+11
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8x+3y+11-7x=4y
Subtract 7x from both sides.
x+3y+11=4y
Combine 8x and -7x to get x.
x+11=4y-3y
Subtract 3y from both sides.
x+11=y
Combine 4y and -3y to get y.
x=y-11
Subtract 11 from both sides.
8x+3y+11-4y=7x
Subtract 4y from both sides.
8x-y+11=7x
Combine 3y and -4y to get -y.
-y+11=7x-8x
Subtract 8x from both sides.
-y+11=-x
Combine 7x and -8x to get -x.
-y=-x-11
Subtract 11 from both sides.
\frac{-y}{-1}=\frac{-x-11}{-1}
Divide both sides by -1.
y=\frac{-x-11}{-1}
Dividing by -1 undoes the multiplication by -1.
y=x+11
Divide -x-11 by -1.
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}