Question

What is the solution to the system of equations 2x-5y=-5 and x+2y=11?

Answer 1

Let's eliminate x in the system 


 2x-5y=-5
 x+2y=11

To do this, mult. the 2nd eqn by -2:

 2x-5y=-5 
 -x-4y=-22
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   -9y= -27.  This yields y = 3.

Now subst. 3 for y in either of the original equations to determine x.

Write your answer as an ordered pair:  ( ?  , 3).