Question

GIVING 25 POINTS FOR WHOEVER HELPS!! Find the solution to the system of equations, represented by the matrix shown below.

Answer 1

A. x = 3; y = 5; z = 9

Explanation:

7 4 -1 32

4 1 -3 -10

1 2 1 22

Switch rows 1 and 3.

1 2 1 22

4 1 -3 -10

7 4 -1 32

R2 --> -4 × R1 + R2

1 2 1 22

0 -7 -7 -98

7 4 -1 32

R3 --> -7 × R1 + R3

1 2 1 22

0 -7 -7 -98

0 -10 -8 -122

R2 --> -1/7 × R2

1 2 1 22

0 1 1 14

0 -10 -8 -122

R1 --> -2 × R2 + R1

1 0 -1 -6

0 1 1 14

0 -10 -8 -122

R3 --> 10 × R2 + R3

1 0 -1 -6

0 1 1 14

0 0 2 18

R3 --> 1/2 × R2

1 0 -1 -6

0 1 1 14

0 0 1 9

R2 --> -R3 + R2

1 0 -1 -6

0 1 0 5

0 0 1 9

R1 --> R1 + R3

1 0 0 3

0 1 0 5

0 0 1 9

Answer: A. x = 3; y = 5; z = 9