5x-7y=11, 7x+5y=19 तर X-y ची किंमत काढा .
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Answer: 5/2
Step-by-step explanation:
Given:
5x-7y = 11 ...(i)
7x-5y = 19 ...(ii)
To Find:
The value of x-y
Solution:
On multiplying 7 into (i) and 5 into (ii),
35x-49y = 77 ...(iii)
35x-25y = 95 ...(iv)
On Substracting (iii) from (iv),
(35x-25y) - (35x-49y) = 95 - 77
=> 35x-35x+49y-25y = 18
=> 24y = 18
y = 18/24 = 3/4.
On putting the value of y in (i),
5x-7y = 11
=> 5x-(7×3/4) = 11
=> 5x-(21/4) = 11
=> 5x = 11+(21/4)
=> 5x = 65/4
x = 65/(4×5) = 13/4
Hence, x-y = 13/4 - 3/4
= (13-3)/4 = 10/4 = 5/2. ANS.
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