SOLUTION: Two fractions have denominators 3 and 4 and their sum is 17/12. If the numerators are switched, the sum is 3/2 . Set up a linear system and solve it using elimination to determine

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Question 1020858: Two fractions have denominators 3 and 4 and their sum is 17/12. If the numerators are switched, the sum is 3/2 . Set up a linear system and solve it using elimination to determine the two numerators. (6 marks)
Answer by ikleyn(52788) About Me  (Show Source):
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7.Two fractions have denominators 3 and 4 and their sum is 17/12. If the numerators are switched, the sum is 3/2.
Set up a linear system and solve it using elimination to determine the two numerators. (6 marks)
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x%2F3 + y%2F4 = 17%2F12.

x%2F4 + y%2F3 = 3%2F2.


First step to solve this system is to multiply each equation by 12 to rid off the denominators. You will get the system then

4x + 3y = 17,
3x + 4y = 18.

Can you complete it yourself?