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Question
Solve :
`4x + [ x - y ]/8 = 17`
`2y + x - [ 5y + 2 ]/3 = 2`
Sum
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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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