Question

Question 2: How can you tell just by looking that the following system that it has infinitely many solutions?

x+y=5
2x+2y=10

Answer 1

By looking at the system of equations, we can tell there are infinitely many solutions because it is proportional. In terms of proportionality, the first equation (x + y = 5) can be multiplied by 2 to result in the second equation (2x + 2y = 10).