Solve for x, y, z
z=4
Share
Copied to clipboard
2\left(x-1\right)+3\left(x+2\right)=24
Consider the first equation. Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x-2+3\left(x+2\right)=24
Use the distributive property to multiply 2 by x-1.
2x-2+3x+6=24
Use the distributive property to multiply 3 by x+2.
5x-2+6=24
Combine 2x and 3x to get 5x.
5x+4=24
Add -2 and 6 to get 4.
5x=24-4
Subtract 4 from both sides.
5x=20
Subtract 4 from 24 to get 20.
x=\frac{20}{5}
Divide both sides by 5.
x=4
Divide 20 by 5 to get 4.
x=4 y=4 z=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}