Determine k so that the system 9x + ky = 9; kx + y = −3 has (i) no solution; (ii) infinite number of solutions; (iii) a unique solution.
Question
Solution 1
(i) No solution: A system of linear equations has no solution if the lines are parallel, which means they have the same slope. The slope of a line in the form ax + by = c is -a/b. So, for the given system, the slopes are -9/k and -k. For no solution, these should be equal. So, -9/k = -k. Solving thi Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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