\left\{ \begin{array} { l } { 2 x + 1 = 5 } \\ { 6 y + 0 = 6 } \end{array} \right.
Solve for x, y
x=2
y=1
Graph
Share
Copied to clipboard
2x=5-1
Consider the first equation. Subtract 1 from both sides.
2x=4
Subtract 1 from 5 to get 4.
x=\frac{4}{2}
Divide both sides by 2.
x=2
Divide 4 by 2 to get 2.
6y=6
Consider the second equation. Anything plus zero gives itself.
y=\frac{6}{6}
Divide both sides by 6.
y=1
Divide 6 by 6 to get 1.
x=2 y=1
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}