3/x+4y=7 5/x+6y=13 solve by cross multiplication method
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☢ Given:
- 3/x+4y=7
- 5/x+6y=13
☢ Solution:
Let 1/x = u and 1/y = v
∴ 3u + 4v = 7 (1)
and 5u + 6v = 13 (2)
Multiplying (1) by 5 and (2) by 3; we get:
15u + 20v = 35 (3)
15u + 18v = 39 (4)
Subtracting (4) from (3)
2v = -4
⇒ v = -2
Putting in (1) we get:
u = 5
⇒ x = 1/5, y = -1/2
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