Use augmented matrices to solve the following systems of equations. Show all work to receive full credit.

Question

Use augmented matrices to solve the following systems of equations. Show all work to receive full credit. Final answer must be given in matrix form.

A. -5x 7y = 9

x 10y = 21

B. x 5y = 11

2x 10y = 25

Answer 1

-5x + 7y = 9

x + 10y = 21

Matrix form:

-5 __ 7 __ 9

1 __ 10 __ 21

Swap rows 1 and 2.

1 __ 10 __ 21

-5 __ 7 __ 9

Multiply row 1 by 5 and and it to rwo 2.

1 __ 10 __ 21

0 __ 57 __ 114

Multiply row 2 by 1/57.

1 __ 10 __ 21

0 __ 1 __ 2

Multiply row 2 by -10 and add it to row 1.

1 __ 0 __ 1

0 __ 1 __ 2