Question

How many solutions does the system of equations have x-2y=6 and 3x-6y=18

one
two
infinitely many
none

Answer 1

infinitely many

Explanation:

I an going to solve these by elimination. Multiply the first equation by 3

3(x-2y) = 3*6

3x - 6y = 18

This first equation multiplied by 3 is exactly the same as the second equation. This means they are the same line. If they are the same line, they have infinitely many solutions.