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

Question

4630 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-20T16:17:46

Try this:
enter image source here

Answer 2 · 2015-05-20T16:20:49

(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 -> $y = -108/114.$

How do you solve the system 3x − 6y = 33x − 6y = 3 and 7x − 5y = −11 7x − 5y = −11 ?