For what values of a and b does the following pair of linear equations have an infinite number of solutions.
(a - b)x+(a + b)y=3a+b-2
Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM
For the equations to have infinitely many solutions, we have:
Subtracting (1) from (2), we obtain:
4b = 4
b = 1
Substituting the value of b in equation (2), we obtain:
a - 5 x 1 = 0
a = 5
Thus, the values of a and b are 5 and 1 respectively.
Answered by | 4th Jun, 2014, 03:23: PM
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