Question 1007577
Creative problem.
Let n and d be the number of nickels and dimes.  Then we have
n + d = 19 and the value equation is
5n + 10d = 130  (we work in cents)
Now multiply the top equation by five and subtract from the second...we get
5n + 10d = 130
-(5n + 5d = 95)
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5d = 35
d = 7 dimes
n = 12 nickels