How do you write the augmented matrix for the system of linear equations 7x+4y=22, 5x-9y=15?

1 Answer
Aug 1, 2017

The solution is ((x),(y))=((258/83),(5/83))

Explanation:

The equations are

7x+4y=22

5x-9y=15

The augmented matrix is

((7,4,|,22),(5,-9,|,15))

R2larr7R2-5R1

((7,4,|,22),(0,-83,|,-5))

R2larr(R2)/(-83)

((7,4,|,22),(0,1,|,5/83))

R1larrR1-4R2

((7,0,|,1806/83),(0,1,|,5/83))

R1larr(R1)/7

((1,0,|,258/83),(0,1,|,5/83))