SOLUTION: Twice The sum of 2 consecutive odd numbers is 22 more than their difference. What are the numbers?

Question 825038: Twice The sum of 2 consecutive odd numbers is 22 more than their difference. What are the numbers?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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2(x + y) = y - x + 22
y = x + 2
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2x + 2y = y - x + 22
x - y = -2
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3x + y = 22
x - y = -2
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solution:
x = 5
y = 7
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system matrix
3 1
1 -1
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inverse of system matrix
0.25 0.25
0.25 -0.75
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determinant of system matrix = -4
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