Mathematics · Linear Equations

For what value of k do the equations kx - 2y - 3 = 0 and 3x + y - 5 = 0 represent two lines intersecting at a unique point?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1k = 3
2k = -3
3k = 6
4All real values of k except -6✓

Correct answer

All real values of k except -6

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For what value of k do the equations kx - 2y - 3 = 0 and 3x + y - 5 = 0 represent two lines intersecting at a unique point?

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For what value of k do the equations kx - 2y - 3 = 0 and 3x + y - 5 = 0 represent two lines intersecting at a unique point?

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