Solve for x, y, z
x=4
y=2
z=-6
Share
Copied to clipboard
x=-y+6
Solve x+y=6 for x.
-y+6+z=-2
Substitute -y+6 for x in the equation x+z=-2.
y=-z-4 z=y-8
Solve the second equation for y and the third equation for z.
z=-z-4-8
Substitute -z-4 for y in the equation z=y-8.
z=-6
Solve z=-z-4-8 for z.
y=-\left(-6\right)-4
Substitute -6 for z in the equation y=-z-4.
y=2
Calculate y from y=-\left(-6\right)-4.
x=-2+6
Substitute 2 for y in the equation x=-y+6.
x=4
Calculate x from x=-2+6.
x=4 y=2 z=-6
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}