Parallel and identical lines
Parallel and identical lines
Secondary 2
For each pair of simultaneous equations in (a) to (d), state whether there is exactly one solution, no solution or infinitely many solutions. Give a reason for each answer.
- \(2x-y=3\) and \(4x-2y=6\)
- \(x+3y=6\) and \(2x+6y=5\)
- \(x=2\) and \(x=5\)
- \(y=2x+1\) and \(y=-x+4\)
- Find the value of \(k\) for which the equations \(kx+2y=5\) and \(3x-y=4\) have no solution.
Solution:
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Answer:(a) infinitely many
(b) none
(c) none
(d) exactly one
(e) \(k=-6\)
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