Solve for y, x
x=10
y=4
Graph
Share
Copied to clipboard
6+2y=14
Consider the first equation. Multiply 3 and 2 to get 6.
2y=14-6
Subtract 6 from both sides.
2y=8
Subtract 6 from 14 to get 8.
y=\frac{8}{2}
Divide both sides by 2.
y=4
Divide 8 by 2 to get 4.
x-2\times 4=2
Consider the second equation. Insert the known values of variables into the equation.
x-8=2
Multiply -2 and 4 to get -8.
x=2+8
Add 8 to both sides.
x=10
Add 2 and 8 to get 10.
y=4 x=10
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}