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1) the co-ordinates of the point of intersection of lines ax+bx+by=9 and bx+ay=5 are (3,-1)
then find the value of 'a'and 'b'
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Answer:
a = 4 & b = 3
Step-by-step explanation:
Given :
Coordinates of the point of intersection of lines are :
a x + b x = 9
and b x + a y = 5 is ( 3 , - 1 )
The given point will satisfy the equation at every point.
Putting x = 3 and y = - 1 :
3 a - b = 9
3 a = 9 + b ... ( i )
- a + 3 b = 5
Multiply it by 3
3 a = 9 b - 15 ... ( ii )
From ( i ) and ( ii ) we get
9 + b = 9 b - 15
24 = 8 b
b = 3
We have :
3 a = 9 + b ... ( i ) [ b = 3 ]
3 a = 12
a = 4
Therefore , the value 'a' and 'b' are 4 and 3 respectively.
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