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Question
If `2x - 3/y = 9` and `3x + 7/y = 2` then the value of x is ______.
Options
–3
3
2
–2
MCQ
Fill in the Blanks
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Solution
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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