Solve for x, y, z
x=-3
y=-2
z=-16
Share
Copied to clipboard
z=4x+2y
Solve 4x+2y=z for z.
x=2y+1
Solve x=2y+1 for x.
x=2\left(3x+7\right)+1
Substitute 3x+7 for y in the equation x=2y+1.
x=-3
Solve x=2\left(3x+7\right)+1 for x.
y=3\left(-3\right)+7
Substitute -3 for x in the equation y=3x+7.
y=-2
Calculate y from y=3\left(-3\right)+7.
z=4\left(-3\right)+2\left(-2\right)
Substitute -2 for y and -3 for x in the equation z=4x+2y.
z=-16
Calculate z from z=4\left(-3\right)+2\left(-2\right).
x=-3 y=-2 z=-16
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}