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# Solve the system of linear equations using the substitution method.$\left. \begin{array} { l } { x + y + z = 4 } \\ { 5 x + 5 y + 5 z = 12 } \\ { x - 4 y + z = 9 } \end{array} \right.$

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We will solve the system.

To solve for the system we will use substitution.

Using equation $2$, let's factor out $5$ from the left side of the equation:

$5\left(x+y+z\right)=12$

Since $x+y+z=4$:

\begin{aligned} 5\left(4\right)&=12\\ 20&=12 \end{aligned}

Since the result is a false equation, therefore, the system has no solution.

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