SOLUTION: a fathers age and sons ages sum up to 56. 2 years from now the father will be 3 times as old as his osn. How old is the father? How old is the son?

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Question 826412: a fathers age and sons ages sum up to 56. 2 years from now the father will be 3 times as old as his osn. How old is the father? How old is the son?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = dad
y = son
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x + y = 56
x + 2 = 3(y + 2)
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put the system of linear equations into standard form:
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x + y = 56
x + 2 = 3y + 6
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x + y = 56
x - 3y = 4
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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 = dad = 43
y = son = 13
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system matrix
1 1
1 -3
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inverse of system matrix
0.75 0.25
0.25 -0.25
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determinant of system matrix = -4
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