For the following linear system, put the augmented coefficient matrix into reduced row-echelon form.
2x1 + 3x2 − x3 = 14
x1 + 2x2 + x3 = 4
5x1 + 9x2 + 2x3 = 7
1 0 -5 16
0 1 3 -6
0 0 0 -19
incorrect

The augmented matrix is

Swap the first rows:

Add -2(row 1) to row 2, and add -5(row 1) to row 3:

Multiply through row 2 by -1:

Add row 2 to row 3:

Multiply through row 3 by -1/19:

Add -4(row 3) to row 1, and add 6(row 3) to row 2:

Add -2(row 2) to row 1:

(-1,0) and (4,0) are x-intercepts.

step-by-step explanation:

x-intercepts are all points on the x-axis.

points (-1,0) and (4,0) are both x -intercepts.