Question 1178499


{{{3x[1] + 2x[2] = 7}}}
{{{x[1] - x[2] = -1}}}



Your matrix


{{{matrix(2,3,
3,	2,	7,
1,	-1,	-1)}}}


Find the pivot in the 1st column and swap the 2nd and the 1st rows


{{{matrix(2,3,
1,	-1,	-1,
3,	2,	7)}}}



Eliminate the 1st column


{{{matrix(2,3,
1,	-1,	-1,
0,	5,	10)}}}



Make the pivot in the 2nd column by dividing the 2nd row by 5


{{{matrix(2,3,
1,	-1,	-1,
0,	1,	2)}}}



Eliminate the 2nd column


{{{matrix(2,3,
1,	0,	1,
0,	1,	2)}}}



Solution set:

{{{x[1] = 1}}}
{{{x[2] = 2}}}