Solve for x, y
x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333
y=\frac{2}{3}\approx 0.666666667
Graph
Share
Copied to clipboard
3x=-4
Consider the first equation. Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x=-\frac{4}{3}
Divide both sides by 3.
6y=6-2
Consider the second equation. Subtract 2 from both sides.
6y=4
Subtract 2 from 6 to get 4.
y=\frac{4}{6}
Divide both sides by 6.
y=\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
x=-\frac{4}{3} y=\frac{2}{3}
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}