Question

For what values of a and b does the following pair of equations have an infinite numbers of solutions. 2x+3y=7, a(x+y)-b (x-y)=3a+b-2​

Answer 1

Answer:

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.