SOLUTION: If from twice the greater of two numbers 17 is substracted, the result is half the other number.
If from half the greater number 1 is substracted, the result is two thirds of the
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Question 825519: If from twice the greater of two numbers 17 is substracted, the result is half the other number.
If from half the greater number 1 is substracted, the result is two thirds of the smaller number.What are the numbers?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = smaller number
y = larger number
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x/2 = 2y - 17
y/2 - 1 = (2/3)x
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put the system of linear equations into standard form
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(x/2 = 2y - 17)2
(y/2 - 1 = (2/3)x)6
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x = 4y - 34
3y - 6 = 4x
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x - 4y = -34
4x - 3y = -6
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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 = smaller number = 6
y = larger number = 10
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system matrix
1 -4
4 -3
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inverse of system matrix
-0.23076923 0.30769231
-0.30769231 0.076923077
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determinant of system matrix = 13
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Solve systems of linear equations up to 4-equations 4-variables:
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