For what values of a and b does the following pair of linear equations have an infinite number of solutions.

2x+3y=7

(a - b)x+(a + b)y=3a+b-2

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

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