हिंदी

If 2⁢x − 3/y = 9 and 3x + 7/y = 2 then the value of x is ______. - Mathematics

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प्रश्न

If `2x - 3/y = 9` and `3x + 7/y = 2` then the value of x is ______.

विकल्प

  • –3

  • 3

  • 2

  • –2

MCQ
रिक्त स्थान भरें
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उत्तर

If `2x - 3/y = 9` and `3x + 7/y = 2` then the value of x is 3.

Explanation:

To solve for (x), you can treat `(1/y)` as a variable say (t).

So the system becomes:

2x – 3t = 9 

3x + 7t = 2

Multiply the first by 7 and the second by 3 to eliminate (t):

14x – 21t = 63 

9x + 21t = 6

Add the two equations:

14x + 9x = 63 + 6 

23x = 69

⇒ x = 3

Hence, the value of (x) is 3.

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अध्याय 5: Simultaneous Linear Equations - Exercise 5F [पृष्ठ १२३]

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नूतन Mathematics [English] Class 9 ICSE
अध्याय 5 Simultaneous Linear Equations
Exercise 5F | Q 9. | पृष्ठ १२३
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