Based on the graph of the following system of equations, determine the number of solutions.

3x + 2y = 5
6y = 10 - 4x

Question

Based on the graph of the following system of equations, determine the number of solutions.

3x + 2y = 5
6y = 10 - 4x

anonymous · Answer

Ask yourself, "When do the lines cross?"
Each place where the lines cross gives you a single solution, so what kinds of things could happen? Well, they could cross once, giving one solution. They could cross never, giving no solutions. Or they could overlap each other completely, which means you will have infinitely many solutions. Here's what that looks like:
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