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

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(52787) (Show Source): You can put this solution on YOUR website!
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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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 +  = .

 +  = .


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?

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