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Question 824687: The ratio of a two-digit number and the sum of its digits is 4:1. If the units digit is twice the tens digit, what is the number?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
x = units digit
y = tens digit
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(x + 10y)/(x + y) = 4/1
x = 2y
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put the system of linear equations into standard form
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x + 10y = 4(x + y)
x - 2y = 0
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x + 10y = 4x + 4y
x - 2y = 0
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3x - 6y = 0
x - 2y = 0
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copy and paste the above standard form linear equations in to this (matrix method) solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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answer:
This linear system is singular. It has no solution
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solve with the elimination method:
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3x - 6y = 0
x - 2y = 0
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3x - 6y = 0
-3x + 6y = 0
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add the system:
0 = 0
answer:
This linear system is singular. It has no solution
NOTE: matrix method and elimination method agree (the system is singular, no solution.)
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