Solve for x, y
y=16
Graph
Share
Copied to clipboard
-2x=4
Consider the first equation. Add 4 to both sides. Anything plus zero gives itself.
x=\frac{4}{-2}
Divide both sides by -2.
x=-2
Divide 4 by -2 to get -2.
y=\left(-2\right)^{2}-4\left(-2\right)+4
Consider the second equation. Insert the known values of variables into the equation.
y=4-4\left(-2\right)+4
Calculate -2 to the power of 2 and get 4.
y=4+8+4
Multiply -4 and -2 to get 8.
y=12+4
Add 4 and 8 to get 12.
y=16
Add 12 and 4 to get 16.
x=-2 y=16
The system is now solved.
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}