Q) Solve the following pair of linear equations:

152x – 378y = – 74
– 378 x + 152y = – 604

Ans: 

Given the equations:

Solve the following pair of linear equations:
152 x – 378 y = – 74 ….. (i)
– 378 x + 152 y = – 604 ….. (ii)

We need to first simplify the coefficients of variables x and y:

Step 1: Let’s add equation (i) and equation (ii) and we get:

……. (iii)

Step 2: Let’s subtract equation (ii) from equation (i) and we get:

……. (iv)

Step 3: Let’s add the equations (iii) and (iv) and we get:

Step 4: Let’s substitute x = 1, in equation (iii), we get:

Therefore,

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