Question

. Check whether the following pair of linear
equations has a unique solution. If yes, find
the solution :
8x + y = 23; 5x - y = 3​

Answer 1

Answer:

Here we have a1= 8, a2= 5, b1= 1 and b2= -1

Clearly, a1/a2 not equal to b1/b2

Hence, the system of equations has unique solution.

Now, adding two equations we get, 13x = 26 which gives x = 2.

Putting x in 5x-y = 3, we get y = 7

Hence, (2,7) is the solution of the system of equations.