Solve the system of equations using GaussJordan elimination

Solve the system of equations using Gauss-Jordan elimination. {2x + y = 1 3x + 2y = -2 {6x + 2y = -10 -3x - y = 6 {5x - 2y = -3 2x + 5y = -24

Solution

2x+y=1

3x+2y=-2

multiplying equation first by -2 and add it to second we get

-4x-2y+3x+2y=-2-2

-x=-4

x=4

2(4)+y=1

y=1-8=-7