Solve for x, y, z
x=a+1
y=-a
z=a
Share
Copied to clipboard
z=y-2y x+y=1 a=z
Reorder the equations.
z=-y
Calculate z from z=y-2y.
a=-y
Substitute -y for z in the equation a=z.
x=-y+1 y=-a
Solve the second equation for x and the third equation for y.
x=-\left(-1\right)a+1
Substitute -a for y in the equation x=-y+1.
x=1+a
Calculate x from x=-\left(-1\right)a+1.
z=-\left(-1\right)a
Substitute -a for y in the equation z=-y.
z=a
Calculate z from z=-\left(-1\right)a.
x=1+a y=-a z=a
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}