मराठी

Solve : 3/X - 2/Y = 0 and 2/X + 5/Y = 19 Hence, Find 'A' If Y = Ax + 3. - Mathematics

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प्रश्न

Solve :
`3/x - 2/y = 0 and 2/x + 5/y = 19` Hence, find 'a' if y = ax + 3.

बेरीज

उत्तर

`3/x - 2/y = 0`                       ......(1)

`2/x + 5/y = 19`                   .......(2)

Multiplying equation no. (1) by 5 and (2) by 2.
`15/x - 10/y = 0`                  ........(3)

`4/x + 10/y = 38`                 ........(4)

Adding (3) and (4),
        `15/x - 10/y = 0`                  

  +    `4/x + 10/y = 38` 
                                         
 `19/x = 38`
  x = `1/2`
From (1)
`3(1/2) - 2/y = 0`
y = `1/3`

∴ y = ax + 3
`1/3 = a(1/2) + 3`
`a/2 = -8/3`
`a = -16/3`

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Equations Reducible to Linear Equations
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पाठ 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (D) [पृष्ठ ८८]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (D) | Q 5 | पृष्ठ ८८
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