Question

find : x + y for

152 x + 378 y = 74 ,

378 x + 152 y = 456​

Answer 1

Step-by-step explanation:

The two equations given are

i) 152x + 378y = 74

ii) 378x + 152y = 456

First we will add both equations,

So equation (i) + (ii)

(152x + 378y) + (378x + 152y) = 74 + 456

⇒ 152x + 378x + 378y + 152y = 530    [ We will bring all the sma variables together and add like add two terms of x together and y together ]

⇒ 530x + 530y = 530

⇒ 530 (x + y) = 530      [ We will take the common number out ]

⇒ (x + y) = $\frac{530}{530}$

⇒ (x + y) = 1

So the answer is (x+y) = 1

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