SOLUTION: Jose has $3.85 in nickels and dimes. He has 8 more nickels than dimes. How many of each coin does he have?

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Question 826404: Jose has $3.85 in nickels and dimes. He has 8 more nickels than dimes. How many of each coin does he have?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = nickels
y = dimes
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5x + 10y = 385
x = y + 8
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put the system of linear equations into standard form:
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5x + 10y = 385
x - y = 8
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = nickels = 31
y = dimes = 23
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system matrix
5 10
1 -1
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inverse of system matrix
0.066666667 0.66666667
0.066666667 -0.33333333
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determinant of system matrix = -15
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