Question

Use the row operations on an augmented matrix to solve the following system of equations.1. The matrix in reduced row echelon form is?2. The solution set it?

Answer 1

(7, 9)

Step-by-step explanation

2) Given the simultaneous equation;

x+y = 16 .... 1

x-y =-2 ....2

Add both equations;

x+x = 16+(-2)

2x = 16-2

2x = 14

x = 14/2

x = 7

Substitute x = 7 into 1;

From equation 1:

x+y = 16

7 + y = 16

y = 16-7

y = 9

Hence the solution set (x, y) is (7, 9)