How many solutions does the system have? 4x-2y=8 2x+y=2
1 answer:
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Answer:
There are 6 coins in nickels and 9 coins in quarters.
Step-by-step explanation:
Now, to find the solution.
According to question:
The number of nickels = .
The number of quarters =
So, the total number of coins:
He had 3 more quarters than nickels.
Thus,
.....(1)
Now, to get the solution:
Substituting the equation (1):
<em>Subtracting both sides by 3 we get:</em>
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<em>Dividing both sides by 2 we get:</em>
<em>The number of nickels = 6.</em>
Now, substituting the value of in equation (1):
<em>The number of quarters = 9.</em>
Thus, there are 6 coins in nickels and 9 coins in quarters.