Solve for z, x, y
x=-1
y=4
z=2
Share
Copied to clipboard
y=\frac{8}{2}
Consider the third equation. Divide both sides by 2.
y=4
Divide 8 by 2 to get 4.
2x+3\times 4=10
Consider the second equation. Insert the known values of variables into the equation.
2x+12=10
Multiply 3 and 4 to get 12.
2x=10-12
Subtract 12 from both sides.
2x=-2
Subtract 12 from 10 to get -2.
x=\frac{-2}{2}
Divide both sides by 2.
x=-1
Divide -2 by 2 to get -1.
z+3\left(-1\right)+4=3
Consider the first equation. Insert the known values of variables into the equation.
z-3+4=3
Multiply 3 and -1 to get -3.
z+1=3
Add -3 and 4 to get 1.
z=3-1
Subtract 1 from both sides.
z=2
Subtract 1 from 3 to get 2.
z=2 x=-1 y=4
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}