Solve for x, y, z
z=16
Share
Copied to clipboard
\frac{3}{2}x=6
Consider the first equation. Add 6 to both sides. Anything plus zero gives itself.
x=6\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=4
Multiply 6 and \frac{2}{3} to get 4.
y=5\times 4-4
Consider the second equation. Insert the known values of variables into the equation.
y=20-4
Multiply 5 and 4 to get 20.
y=16
Subtract 4 from 20 to get 16.
z=16
Consider the third equation. Insert the known values of variables into the equation.
x=4 y=16 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}