SOLUTION: the units digit of a two digit number is two more than the tens digit. If the digits are reversed, the number formed is 17 less than twice the original number, find the number
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Question 825500: the units digit of a two digit number is two more than the tens digit. If the digits are reversed, the number formed is 17 less than twice the original number, find 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 = y + 2
10x + y = 2(x + 10y) - 17
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put the system of linear equations into standard form
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x - y = 2
10x + y = 2x + 20y - 17
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x - y = 2
8x - 19y = -17
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solution:
x = units digit = 5
y = tens digit = 3
the number is: 35
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system matrix
1 -1
8 -19
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inverse of system matrix
1.7272727 -0.090909091
0.72727273 -0.090909091
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determinant of system matrix = -11
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