



 
Hi Patricia. To figure out what to eliminate, I look at the pairs of monomials and try to see if there is an easy factor I can apply so that one is the negative of the other. We have 5/x and 25/x for one pair and 3/y and 2/y for the other pair. Right away, I can see that it is easy to change the 5/x into 25/x by multiplying by 5. Then I have a pair that consists of the same number with opposite signs. So I'll first multiply the top equation by negative five.
Next, add the equations. Add the two right sides together and the two left sides together:
This reduces to:
You see how I eliminated the x term? Hope this helps you,  


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