Solve for x
x=\frac{22-y}{5}
Solve for y
y=22-5x
Graph
Share
Copied to clipboard
y-2=-5x-\left(-20\right)
Multiply 5 and -4 to get -20.
y-2=-5x+20
The opposite of -20 is 20.
-5x+20=y-2
Swap sides so that all variable terms are on the left hand side.
-5x=y-2-20
Subtract 20 from both sides.
-5x=y-22
Subtract 20 from -2 to get -22.
\frac{-5x}{-5}=\frac{y-22}{-5}
Divide both sides by -5.
x=\frac{y-22}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{22-y}{5}
Divide y-22 by -5.
y-2=-5x-\left(-20\right)
Multiply 5 and -4 to get -20.
y-2=-5x+20
The opposite of -20 is 20.
y=-5x+20+2
Add 2 to both sides.
y=-5x+22
Add 20 and 2 to get 22.
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}