One rule of a system reads 2x + 6y = 10 and the other reads x + 3y = 5. What kind of system is this?

1. Divide every term of the first rule by 2 to get x + 3y = 5. 2. That is exactly the second rule, so the two rules describe the same line. 3. Lines that lie on top of each other share every point, so there are infinitely many solutions. 4. A system like that is called dependent. 5. Option B would need the lines to be parallel but apart, which halving shows they are not. _Source: OpenStax College Algebra (CC BY 4.0), Ch 7 "Systems of Equations and Inequalities", section 7.1 Systems of Linear Equations: Two Variables_