13. If x=1, y = -3 is the solution of the equations ax + by = 3ab and x/a+y/b=2 find a and b
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Answered by
11
ax + by = 3ab
So. a - 3b = 3ab
=> a = 3b + 3ab
Now x/a + y/b = 2
=> 1/ a - 3/b = 2
=> b - 3a = 2ab
=> b - 9b -9ab = 2ab
=> -8b = 11ab
=> a = -8/11
Now a = 3b + 3ab
=> -8/11 = 3b - 24/11 b
=> -8/11 = 33b - 24b / 11
=> -8 = 9b
=> -8/9 = b
So. a - 3b = 3ab
=> a = 3b + 3ab
Now x/a + y/b = 2
=> 1/ a - 3/b = 2
=> b - 3a = 2ab
=> b - 9b -9ab = 2ab
=> -8b = 11ab
=> a = -8/11
Now a = 3b + 3ab
=> -8/11 = 3b - 24/11 b
=> -8/11 = 33b - 24b / 11
=> -8 = 9b
=> -8/9 = b
Answered by
3
Answer:
a= -8/11 and b= -8/9
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