For 3x+2y = 7 and 6x+my = 14, system has infinite solutions when m = ?
- 2
- 3
- 4
- 5
Explanation
To have infinite solutions, the two equations must be proportional, meaning:
(3x + 2y = 7)
(6x + my = 14)
Compare coefficients:
- 6x / 3x = 2
- 14 / 7 = 2
→ So, m/2 must also be 2 → m = 4
Related MCQs
- 8
- 9
- 10
- 11
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- The point will always lie on the y-axis.
- The point will always lie on the x-axis.
- The point will always lie in the first quadrant.
- None of these
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