If the equations 4 x + 3 y + 5 = 0 and 6 x - k y - 7 = 0 have no solution, then the value of k is:
Given:
T he equations 4 x + 3 y + 5 = 0 and 6 x - k y - 7 = 0 have no solution.
Concept used:
If Ax + By + C = 0 and Px + Qy + R = 0 are two linear equations, then it has no solution if,
A/P = B/Q ≠ C/R
Calculation:
Since the equations 4 x + 3 y + 5 = 0 and 6 x - k y - 7 = 0 have no solution,
According to the concept,
4/6 = 3/-k
⇒ k = -4.5
∴ The value of k is -4.5.
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