Solve for x, y, z
z=-2
Share
Copied to clipboard
2x=x-2+1
Consider the first equation. Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
2x=x-1
Add -2 and 1 to get -1.
2x-x=-1
Subtract x from both sides.
x=-1
Combine 2x and -x to get x.
y=\left(-1-1\right)\left(-1+2\right)
Consider the second equation. Insert the known values of variables into the equation.
y=-2\left(-1+2\right)
Subtract 1 from -1 to get -2.
y=-2
Add -1 and 2 to get 1.
z=-2
Consider the third equation. Insert the known values of variables into the equation.
x=-1 y=-2 z=-2
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}