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

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Answer 1 · 2017-08-01T16:59:22

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

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))#