the greater of two numbers is 8 more than 5 times the smaller. their sum is 68. Find the numbers?
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Where the "greater" is y. Thats how I read the first sentence. Think about how you'd read the second part.
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Looks alright to me. I assume the line where x=y=68 is supposed to read x+y=68. You know what you are finding because its the value you don't have. Fortunately in this case you have two different relations for y and x... which means you can combine those relations to find them both.