Solve the system of equations given by 5x - 2y = -6 and 15x - 6y = 6
a. infinitely many solutions
b. (1, 1)
c. no solution
d. ( -2, -2)

8x - 3y = 12 ( 1 )

5x = 2y + 7 ( 2 )

On further solving ( 2 ), we get

5x - 2y = 7 ( 3 )

Multiply ( 1 ) by 2

16x - 6y = 24 ( 4 )

Multiply ( 3 ) by 3

15x - 6y = 21 ( 5 )

Subtract ( 4 ) and ( 5 )

( 16x - 6y ) - ( 15x - 6y ) = 24 - 21

16x - 6y - 15x + 6y = 3

Put this in ( 2 )

5 ( 3 ) = 2y + 7

15 = 2y + 7

2y = 15 - 7

2y = 8

y = 8 / 2

Step-by-step explanation:

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)