Question

Solve the following pair of linear equations by substitution method:
152x-378y=-74
-378x+152y=-604​

Answer 1

Given :  152x-378y=-74 , -378x+152y=-604

To find :   Value of x & y

Solution:

152x - 378y = -74    Eq1

-378x + 152y = -604​    Eq2

Eq1  + Eq2

-226x  - 226y  = -678

=> x + y = 3

Eq1  - Eq2

=> 530x - 530y  = 530

=> x  - y  =  1

x + y = 3

x - y = 1

Adding both

2x = 4

=> x = 2   & y  = 1

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