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Think of a number that if you multiply it by the equation would eliminate one variable.

So in this case, I'll use the equation:

3x + y = 9

(3x + y = 9) -4 ⇒ -12x - 4y = -36

2x + 4y = 12

-12x - 4y = -36

-----------------------

-10x = -24

-10x -24 24

------- = ----- ⇒ x = ----- (lowest term) ⇒

-10 -10 10

2x + 4y = 12

2(12/5) + 4y = 12

24/5 + 4y = 12

20y 36 36

----- = ---- ⇒ y = ----- ⇒

20 20 20

CHECK:

3x + y = 9

3(12/5) + 9/5 = 9

36/5 + 9/5 = 9

45/5 = 9

9 = 9

Check the attachment below =)