The lines representing the equations y = 3x - 2 and y = 3x + 5 are drawn on the same axes. What can be concluded about the solution to these simultaneous equations?

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Question

The lines representing the equations y = 3x - 2 and y = 3x + 5 are drawn on the same axes. What can be concluded about the solution to these simultaneous equations?

Accepted Answer

There is no solution. — Award 1 mark for C. Both lines have the same gradient (3) but different y-intercepts (-2 and 5), so they are parallel and never intersect. A and B are incorrect because these points lie on only one line each, not both. D is incorrect because infinitely many solutions occur when lines coincide, not when they are parallel.

Answer

The solution is (0, -2).

Answer

The solution is (0, 5).

Answer

There are infinitely many solutions.

Answer

There is no solution.

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