Question

Which statement describes this system of equations?
9x – 6y = 15,
3x – 2y = 5

Answer 1

1) The equations in the system are equivalent equations.

2) There is no solution to the system of equations.

3) The system of equations has one solution at (3, 2).

4) The system of equations has one solution at (5, 5).

Answer = 1

Explanation:

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Answer 2

This system of equation has an infinite number of solutions.

You can tell this because multiplying one equation by a constant gives you exactly the other equation. You can multiply the second equation by 3.

9x - 6y = 15

5(3x - 2y = 5) = 9x - 6y = 15

When this happens, you can assume that there are an infinite number of solutions.