Question

How many solutions does the following system of equations have?

{4x + 6y = 24
2x + 3y = 12

Answer 1

Infinitely many solutions

Explanation:

Note that 2(2x+3y=12) is 4x+6y=24, which is the first equation. Therefore, by canceling the equations out, you have 0=0, which means whatever one side equals, the other side ALWAYS equals that.