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Solve for X and Y: `5/X + 2/Y = 6, (−5)/X + 4/Y = -3` - Mathematics

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Question

Solve for x and y:
`5/x + 2/y = 6, (−5)/x + 4/y = -3`

Solution

The given equations can be written as
`5/x + 2/y = 6`   …….(i)
`(−5)/x + 4/y = -3 `  ……(ii)
Adding (i) and (ii), we get
`6/y` = 3 ⇒ y = 2
Substituting y = 2 in (i), we have
`5/x + 2/2 = 6 ⇒ x = 1`
Hence, x = 1 and y = 2.

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Chapter 3: Linear Equations in two variables - Exercises 2

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RS Aggarwal Mathematics [English] Class 10
Chapter 3 Linear Equations in two variables
Exercises 2 | Q 35

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