\left\{ \begin{array} { l } { 2 x - y = 3 m } \\ { 3 x + y = 2 m + 5 } \\ { 2 x - y = 3 } \end{array} \right.
Solve for x, y, m
x=2
y=1
m=1
Graph
Share
Copied to clipboard
y=2x-3m
Solve 2x-y=3m for y.
3x+2x-3m=2m+5 2x-\left(2x-3m\right)=3
Substitute 2x-3m for y in the second and third equation.
x=1+m m=1
Solve these equations for x and m respectively.
x=1+1
Substitute 1 for m in the equation x=1+m.
x=2
Calculate x from x=1+1.
y=2\times 2-3
Substitute 2 for x and 1 for m in the equation y=2x-3m.
y=1
Calculate y from y=2\times 2-3.
x=2 y=1 m=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}