E-SL03 · Singular values in a two-line system
Consider \((k-1)x+2y=6\) and \(2x+(k-1)y=6\).
Find the intersection for \(\displaystyle k=0\).
Find the k-values for which there is not a unique intersection. State what happens at each.
For all remaining k, find the intersection in terms of k. Describe the set of points obtained as k varies, including any excluded points.
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