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  • Solve the following pair of linear equations: (v) 152x - 378y = -74 - 378x + 152 y = - 604

Q7.    Solve the following pair of linear equations:

                (v)    \\152x - 378y = -74\\ -378x + 152y = -604

Answers (1)

best_answer

Given Equations,

\\152x - 378y = -74............(1)\\ -378x + 152y = -604............(2)

As we can see by adding and subtracting both equations we can make our equations simple to solve. 

So,

Adding (1) and )2) we get,

-226x-226y=-678

\Rightarrow x+y=3...........(3)

Subtracting (2) from (1) we get,

530x-530y=530

\Rightarrow x-y=1...........(4)

Now, Adding (3) and (4) we get,

2x=4

\Rightarrow x=2

Putting this value in (3) 

 2+y=3

\Rightarrow y=1

Hence,

x=2\:and\:y=1.

Posted by

Pankaj Sanodiya

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