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Solve the following pair of linear equations. 152x − 378y = − 74 , − 378x + 152y = − 604 - Mathematics

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Solve the following pair of linear equations.

152x − 378y = − 74

− 378x + 152y = − 604

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Solution

152x − 378y = − 74

76x − 189y = − 37

`x =(189y - 37)/76  ...(1)`

− 378x + 152y = − 604

− 189x + 76y = − 302 … (2)

Substituting the value of x in equation (2), we obtain

`-189((189y-37)/76)+76y = - 302`

− (189)2 y + 189 × 37 + (76)2 y = − 302 × 76

189 × 37 + 302 × 76 = (189)2 y − (76)2 y

6993 + 22952 = (189 − 76) (189 + 76) y

29945 = (113) (265) y

y = 1

From equation (1), we obtain

`x = (189(1)-37)/76`

`x =(189-37)/76 = 152/76`

x = 2

Concept: Equations Reducible to a Pair of Linear Equations in Two Variables
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APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.7 | Q 7.5 | Page 68
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