Solve for X, Y, Z
X = \frac{101}{2} = 50\frac{1}{2} = 50.5
Y=-45
Z = -\frac{9}{2} = -4\frac{1}{2} = -4.5
Share
Copied to clipboard
X=-Y-Z+1
Solve X+Y+Z=1 for X.
-Y-Z+1+Y-Z=10 -Y-Z+1-Y-Z=100
Substitute -Y-Z+1 for X in the second and third equation.
Z=-\frac{9}{2} Y=-Z-\frac{99}{2}
Solve these equations for Z and Y respectively.
Y=-\left(-\frac{9}{2}\right)-\frac{99}{2}
Substitute -\frac{9}{2} for Z in the equation Y=-Z-\frac{99}{2}.
Y=-45
Calculate Y from Y=-\left(-\frac{9}{2}\right)-\frac{99}{2}.
X=-\left(-45\right)-\left(-\frac{9}{2}\right)+1
Substitute -\frac{9}{2} for Z and -45 for Y in the equation X=-Y-Z+1.
X=\frac{101}{2}
Calculate X from X=-\left(-45\right)-\left(-\frac{9}{2}\right)+1.
X=\frac{101}{2} Y=-45 Z=-\frac{9}{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}