Question

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

Answer 1

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# Find x and y

→ 152x - 378y = - 74 .......(1)

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

Subtract both (1) and (2) by elimination method

+ 152x - 378y = - 74
- 378x + 152y = - 604
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- 530 x + 530 y = - 530
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x - y = 1 .......(3)

Now, add both (1) and (2)

+ 152x - 378y = - 74
- 378x + 152y = - 604
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- 226x - 226y = - 678
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x + = 3 .........(4)

Now, add both (3) and (4) by elimination method

+ x - y = + 1
+ x + y = + 3
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+ 2x + 0y = + 4
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2x = + 4

`$\textbf{x = + 2}$`

Put value of x in (3)

+ 2 - y = 1

- y = 1 - 2

- y = - 1

`$\textbf{y = + 1}$`