SOLUTION: How many dimes and nickels make up 6.10 dollars if there are 79 coins? Here are correct equations I need help on, x+y=79, 0.10y+0.05x=6.10

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Question 1171011: How many dimes and nickels make up 6.10 dollars if there are 79 coins? Here are correct equations I need help on, x+y=79, 0.10y+0.05x=6.10
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%2By=79+...solve for x
x=79-y+....eq.1
0.10y%2B0.05x=6.10....substitute x from eq.1
0.10y%2B0.05%2879-y%29=6.10.......solve for y
0.10y%2B3.95+-+0.05y=6.10
0.10y+-+0.05y=6.10-3.95
+0.05y=2.15
y=2.15%2F+0.05
y=215%2F+5
y=43->dimes
go to
x=79-y+....eq.1, substitute y
x=79-43+
x=36->nickels
there is 43 dimes and 36 nickels