8x -y=2. 5x-4y=3 please help solve this system by substition method
1 answer:
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Answer:
6 Nickels
42 Dimes
Step-by-step explanation:
There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:
n + d = 48
or
n = 48 - d
In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:
0.05n + 0.10d = 4.50
Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:
So, there are 42 dimes.
We know from before, n = 48 - d, so
n = 48 - 42 = 6
There are 6 nickels