# Solve the system. Assume that the variables are named x1,x2,…x from left to right. ⎡⎣100010001−307⎤⎦

Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named $$x_1,x_2,…x ,…$$ from left to right.

$$\begin{bmatrix}1&0&0&-3 \\0&1&0&0\\0&0&1&7 \end{bmatrix}$$

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Alix Ortiz

$$x_1=-3$$
$$x_2=0$$
$$x_3=7$$ hence the solution is $$(x_1,x_2,x_3)=(-3,0,7)$$