MediumAlgebra•Math•Acceptance: 42.1%

Linear System with Constant k and No Solution

In the system of equations below, k is a constant. If the system has no solution, what is the value of k?

kx - 6y = 14 \text{and} 4x - 2y = 7
Desmos 10-Second Shortcut

Desmos Parallel Test: Graph 4x - 2y = 7 and kx - 6y = 14 with a k slider. No solution means parallel lines (identical slopes, different y-intercepts). At k = 12, lines are parallel.

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