Chapter=3 2x-3y=7 (a+b) x-(a+b-3) y=4a+b
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Gaurav Seth 5 years, 3 months ago
Value of a, b = -5, -1 derived from the system of linear equation given which has infinite number of solution.
Solution:
For an equation to have infinite solution, the equations should be same as for now let us equate the equations and then solve it
2x - 3y=7
(a+b)x-(a+b-3)y = 4a+b
Equate the value of ax + by = cn in both cases, after this we get:
a+b=2n
a+b-3=-3n and 4a+b=7n.
Solving these we get the value of n = -3.
Putting the value of n, we get a+b=-6
a+b-3=18
4a+b=-21
Solving the above equation, we get:
a=-6-b
-4(6+b)+b=-21
b= -1
Putting the value of b in a = -6-b
a = -5.
Therefore, the value of a & b = -5, -1
2Thank You