SOLUTION: Three times a larger number is 30 more than five times a smaller number. The sum of the larger number and 5 times the smaller number is 50. Let x be the smaller number and y be th

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Question 1132816: Three times a larger number is 30 more than five times a smaller number. The sum of the larger number and 5 times the smaller number is 50. Let x be the smaller number and y be the larger number. Create a system and graph it to find the solution. What are the two numbers. X= and y=?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Putting the description into equations:
system%283y=5x%2B30%2Cand%2Cy%2B5x=50%29.

You could solve by graphing these if you want but easier to use simple algebra.
system%285x-3y=-30%2C5x%2By=50%29
E2-E1gives
4y=80
y=20
-
5x=50-y
5x=30
x=6
-
system%28highlight%28x=6%29%2Cand%2Chighlight%28y=20%29%29