Question

What is the solution of x + y = 2 and 2x + 5y = 16?

Answer 1

Using elimination method....
I got y = 4 and x = -2

Answer 2

Multiply the first equation by two to get 2x + 2y = 4. 
Subtract the second equation from the first equation to get -3y = -12

y = 4. 

Plug y back in to get x = -2.