Solve linear equation x-y-z=0 x+2y-z=6 2x-z=5

Question
Forms of linear equations
Solve linear equation
$$\displaystyle{x}-{y}-{z}={0}$$ PSK $$\displaystyle{x}+{2}{y}-{z}={6}$$
$$\displaystyle{2}{x}-{z}={5}$$

2021-01-03

Relevant Questions

Solve the system. If the system does not have one unique solution, also state whether the system is onconsistent or whether the equations are dependent.
2x-y+z=-3
x-3y=2
x+2y+z=-7

Determine if (1,3) is a solution to the given system of linear equations.

$$5x+y=8$$

$$x+2y=5$$

Determine if (1,3)is a solution to given system of linear equations
$$y-2x=3$$
$$3x-2y=5$$

Find all the solutions of the system of equations:
x+2y-z=0, 2x+y+z=0, x-4y+5z=0.
Write the augmented matrix for the system of linear equations
2y-z=7
x+2y+z=17
2x-3y+2z=-1
Use back-substitution to solve the system of linear equations.
$$\displaystyle{b}{e}{g}\in{\left\lbrace{c}{a}{s}{e}{s}\right\rbrace}{x}&-{y}&+{5}{z}&={26}\backslash&\ \ \ {y}&+{2}{z}&={1}\backslash&&\ \ \ \ \ {z}&={6}{e}{n}{d}{\left\lbrace{c}{a}{s}{e}{s}\right\rbrace}$$
(x,y,z)=()
Use Cramer’s Rule to solve (if possible) the system of linear equations.
2x-y=-10
3x+2y=-1

Determine whether the ordered pair is a solution to the given system of linear equations.
(5,3)
$$x-y=2$$
$$x+y=8$$