SOLUTION: Solve for x & y. 2/x-3/y=-5 4/x+6/y=14 Thanks for your help.

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Question 936776: Solve for x & y. 2/x-3/y=-5 4/x+6/y=14 Thanks for your help.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


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...all terms multiply by

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solutions:
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Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Solve for x & y. 2/x-3/y=-5 4/x+6/y=14 Thanks for your help.

------- eq (i)
------- eq (ii)
Let , and
Then becomes: 2a – 3b = - 5 ------ eq (iii)
Also, becomes: 4a + 6b = 14 ------- eq (iv)
4a – 6b = - 10 -------- Multiplying eq (iii) by 2 ----- eq (v)
8a = 4 ------- Adding eqs (v) & (iv)
a = , or
-------- Substituting ½ for a in eq (iii)
1 – 3b = - 5
– 3b = - 5 – 1
– 3b = - 6
b = , or 2
Since , then
------ Cross-multiplying
Since , then
2y = 1 ------ Cross-multiplying


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