# Use x,y.x,y. or x,y,z.x,y,z. or x_1,x_2,x_3,x_4 as variables. Determine whether the system is consistent or inconsistent.

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y.x,y. or x,y,z.x,y,z. or $$x_1,x_2,x_3,x_4$$ as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

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

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lamanocornudaW

$$x=-4 \to (i)$$
$$y=0 \to (ii)$$
From the system of equation we can see that both equation has solution that is why system is consistent and has solution.