Question

Find whether the following pair of linear equations has a

unique solution. If yes, find the

7x – 4y = 49 and 5x – y = 57​

Answer 1

Answer

We have, 

7x−4y=49...(i)  and 

5x−6y=57...(ii)

Here 

a1=7,b1=−4,c1=49  and 

a2=5,b2=−6,c2=57

So, a2a1=57 , b2b1=−6−4=32

Since, a2a1=b2b1

The system has a unique solution.

Now, Multiply equation (i) by 5 and equation (ii) by 7 and subtract,

   35x−20y=245

   35x−42y=399

   22

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