solve the system using the Guass-Jordan method. -4x+2y=-6 ; x+3y=5

Answer 1

x=2, y= 1

-4 2 -6

1 3 5

divide top row by -4

1 -1/2 3/2

1 3 5

subtract 1st row from 2nd

1 -1/2 3/2

0 7/2 7/2

divide 2nd row by 7/2

1 -1/2 3/2

0 1 1

add half 2nd row to 1st row

1 0 2

0 1 1

x = 2, y = 1

-4x +2y =-6

-4(2) + 2(1) = -8 + 2 =-6

x +3y = 5

2 +3(1) = 2+3 = 5