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Solve : 9/X - 4/Y = 8 13/X + 7/Y = 101 - Mathematics

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प्रश्न

Solve :
`9/x - 4/y = 8`

`13/x + 7/y = 101`

योग

उत्तर

`9/x - 4/y = 8`                             ....(1)

`13/x + 7/y = 101`                      .....(2)

Multiplying equation no. (1) by 7 and (2) by 4.
`63/x - 28/y = 56`                       .....(3)

`52/x + 28/y = 404`                    .....(4)

Adding equation (3) and (4)
        `63/x - 28/y = 56`  

 +    `52/x + 28/y = 404` 
                                          
      `115/x` = 460
      `x = 115/460 = x = 1/4`

From (1)
9 x `(4/1) - 4/y = 8`
- `4/y = - 28 `
` y = 1/7`

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Equations Reducible to Linear Equations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (D) [पृष्ठ ८७]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (D) | Q 1 | पृष्ठ ८७
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