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**somanyquestions** i have to use matrices to solve the system of equations using gauss-jordan elimination

my system of equations is:

2x -y +3z =24

2y -z =14

7x -5y =6

my matrix would be

2 -1 3 24

0 2 -1 14

7 -5 0 6

can i have a walk through of this equations and an explanation on what to do? this is what i have so far:

i want to get this matrix into reduced row-echelon form, so first i put it into row-echelon form then reduce.

-i times Row 1 by 1/2 so i would end up with:

1 -1/2 3/2 12

0 2 -1 14

7 -5 0 6

-then i times Row 2 by 1/2 and end up with:

1 -1/2 3/2 12

0 1 -1/2 7

7 -5 0 6

-then i times Row 1 by -7 and add it to Row 3 and end up with:

1 -1/2 3/2 12

0 2 -1 14

0 -1.5 -10.5 -78

what would i do to get the leading 1 of row 3? am i doing this right? are my answers right so far? can anyone give me a walkthrough through the rest of the problem? sorry, my spacing isn't working.