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Solve : 4x + X - Y /8 = 17 2y + X - 5y + 2 /3 = 2 - Mathematics

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Question

Solve :
`4x + [ x - y ]/8 = 17`

`2y + x - [ 5y + 2 ]/3 = 2`

Sum

Solution

`4x + [ x - y ]/8 = 17`                     (Given)
⇒ 32x + x - y = 136
⇒ 33x - y = 136                             ......(1)

`2y + x - [ 5y + 2 ]/3 = 2`               (Given)
⇒ 6y + 3x - 5y - 2 = 6
⇒ 3x + y = 8                                 .......(2)

Adding equations (1) and (2), we get
          33x - y = 136 
  +        3x + y = 8     
                 36x = 144
                     x = 4

Substituting x = 4 in equation (2), We get
3 x 4 + y = 8
⇒ 12 + y = 8
⇒ y = 8 - 12
⇒ y = - 4
∴ Solution is x = 4 and y = - 4

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Methods of Solving Simultaneous Linear Equations by Elimination Method - Method of Elimination by Equating Coefficients
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Chapter 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (B) [Page 81]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (B) | Q 19 | Page 81
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