Question 488257
5x + 5y = 50 
10x + 6y = 84 
in the elimination method we delete one of the unknown x or y
is easiest to delete the x in this case
look!
5x + 5y = 50   --> multiply by (-2) to delete x
10x + 6y = 84 

-10x-10y=-100   --> sum
10x+6y=84
_____________
-4y=-16          --> change the signal is the same that multiply by (-1) because y is negative
so:
4y=16
y=16/4
y=4

substituting to find x:
5x+5y=50
5x+5*4=50
5x+20=50
5x=50-20
5x=30
x=30/5
x=6

answer: y=4 and x=6