4x+3y=8xy & 6x+5y=13xy, find x and y
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15
Answer:
X= 1/2 .y=2
Step-by-step explanation:
3/x + 4/y = 8------(1)
5/z + 6/y=13------(2)
Let 1/x =u ; 1/y = v
Now (1) and (2) become
3u + 4v =8 -----(3)
5u+ 6v = 13 ----(4)
Multiply equ (3) by3
Multiply equ (4)by 2
9u + 12 v = 24-----(5)
10u + 12v = 26----(6)
Substrcting equ(5) from (6) we get
U= 2
Now from equ (3) e get
6 + 4v = 8
=> 4v
=>v = 1/2
Now ,u= 2 v= 1/2
1/x = 2 ,1/y = 1/2
=> x = 1/2 y = 2
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Step-by-step explanation:
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