Question

Ques:- For which values of a and b does the following pair of linear equation have an infinite number of solutions? i). 2x + 3y = 7. ii). (a-b) x + (a+b) y = 3a + b-2 ​

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Please refer attachment.

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a = 5 and b = 1  is the value of the pair of linear equations  and  

Given:

To find:

Value of a and b =?

Solution:

For the equations to have infinite number of solutions, the ratios of the coefficients of x and y and constants in two equations should be equal.

That is,  

Let us take two equations at a time to solve for a and b

Now,  

Substitute  in the above equation  

Therefore,  is the value of a and b.

Step-by-step explanation: