x - 2y = 6

Question

3x - 6y = 18
infinite solutions, no solutions, or one solution

Answer 1

This system of equations has infinite solutions.

To solve the system, we can multiply the first equation by 3:

3(x - 2y) = 3(6)
3x - 6y = 18

We can see that the second equation is equivalent to the first equation multiplied by 3, meaning the two equations represent the same line. This means that any point that satisfies one equation will also satisfy the other equation. Therefore, there are infinite solutions.