Classify the system 2x + 3y = 6 and 4x + 6y = 12 by choosing the correct label.

• A. Consistent and independent — the two lines intersect at exactly one point because doubling an equation always produces a distinct line that crosses the original.
• B. Consistent and dependent — the two equations represent the same line, so there are infinitely many solutions.
• C. Indeterminate — the system does not meet the definition of linearity because the coefficients form a singular matrix, which precludes classification as consistent or inconsistent without additional information.
• D. Inconsistent — the lines are parallel with the same slope but different intercepts, so there are no solutions.

Answer: (B)