Solve the system of equations putting your solutions in para

Solve the system of equations putting your solutions in parameter vector form. x_1 + 2x_2 + x_3 + 7x_4 = 8 -2x_1 - 4x_2 - x_3 - 10x_4 = -11 10x_1 + 20x_2 + 2x_3 + 38x_4 = 40

Solution

Your matrix

Find the pivot in the 1st column in the 1st row

Eliminate the 1st column

Find the pivot in the 3rd column in the 2nd row

Eliminate the 3rd column

Solution set:

x1 = 3 - 2x2 - 3x4

x3 = 5 - 4x4

x2, x4 - free

	X1	X2	X3	X4	b
1	1	2	1	7	8
2	-2	-4	-1	-10	-11
3	10	20	2	38	40