You can
put this solution on YOUR website!d=number of dimes
n=number of nickels
coefficient= value of the coin
value of dime(number of dimes)+value of nickel(number of nickels)=total value
10(d)+5(n)=565
10(2d)+5(n+8)=1045------------If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45.
Distribute
20d+5n+40=1045
Subtract 40 from both sides
20d+5n=1005
and
10d+5n=565 both have 5n, so subtract them from each other
10d=440
Divide both sides by 10
d=44
Number of dimes=44
