Question

The system of equations \( 2x - 3y = 5 \) and \( 4x - 6y = 7 \) has:

• A. One and only one solution
• B. No solution
• C. Infinitely many solutions
• D. None of these

Hint:

Parallel lines have no solution.

Answer 1

The Correct Option is B

Checking the ratios:
\[ \frac{2}{4} = \frac{3}{6} \neq \frac{5}{7}. \] Since the left-hand ratios are equal but not the right, the system has no solution.