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
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> 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
Log On
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) (Show Source):
You can put this solution on YOUR website! .
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?