Question

How do you solve the system `3x − 6y = 3` and `7x − 5y = −11`?

Answer 1

Try this:

Answer 2

(1) 3x - 6y = 3 ---> Multiply by 5 -> 15x - 30y = 15 (1)

(2) 7x - 5y = -11 -> Multiply by -6 -> 42x + 30y = -66 (2)

Add (1) and (2) -> 57x = -51 ->`x = -51/57 = -17/19`

6y = 3x - 3 = 3(x - 1) = 3(-36/19) = -108/19 ->`y = -108/114.`