Question 528233
Let e=price of eggs
Let b=Price of bacon

If two eggs with bacon costs $1.35

2e+b=1.35

If one egg with bacon costs $.90

e+b=.90

take both of these equations and subtract them:

    2e+b=1.35
  -  e+b=.90

subtract the like characters from like characters:
(2e-e) = e, (b-b)= 0, (1.35-.90) = .45

So your combined equation (which unsimplified looks like (2e-e)+(b-b)=(1.35-.90)

is now e=.45

substitute this back into either of the original equations

e+b=.90
.45+b=.90

subtract .45 from both sides to get your answer:

b=.45

The price of bacon alone is 45 cents.

*** Always put your answer (b=.45) back into both equations to make sure they come out correct to check your work