# Determine whether this system of linear equations is consistent and, if so, find its general solution.[1−45\000\000]

Tammy Todd 2021-09-23 Answered

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.

$$\begin{bmatrix}1&-4&5\\0&0&0\\0&0&0 \end{bmatrix}$$

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## Expert Answer

krolaniaN
Answered 2021-09-24 Author has 12484 answers

$$x_1-4x_2=5$$
$$0=0$$
$$x_1=5+4x_2$$
$$x_2$$, free
$$x_1=5+4t$$
$$x_2=t$$
$$x=[5,0]+t[4,1]$$

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