## Related questions with answers

Solve each system of equations. If the system is inconsistent or has dependent equations, say so.

$\begin{aligned} 2 x+2 y-6 z &=5 \\-3 x+y-z &=-2 \\-x-y+3 z &=4 \end{aligned}$

Solution

VerifiedSteps to solve system of linear equations with three variables:

$\textbf{Step }1$ $\rightarrow$ Eliminate any one variable from equation $\left(1\right)$ and equation $\left(2\right)$.

$\textbf{Step}$ $2$ $\rightarrow$ Eliminate the same variable from equation $\left(1\right)$ and equation $\left(3\right)$ or from equation $\left(2\right)$ and equation $\left(3\right)$.

$\textbf{Step}$ $3$ $\rightarrow$ Consider the equations obtain from step $1$ and step $2$ as system of linear equations with two variables. Eliminate one variable and solve for another.

$\textbf{Step}$ $4$ $\rightarrow$ Substitute the value of variables in equations and solve for third variables.

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