The system of equations 2x-3y-5=0, 15y-10x+50=0

  1. A. has a unique solution
  2. B. has infinitely many solutions
  3. C. is inconsistent
  4. D. is consistent and has exactly two solutions

Correct Answer: C. is inconsistent

Explanation

The equations can be rewritten as 2x - 3y = 5 and -10x + 15y = -50. Dividing the second equation by -5 gives 2x - 3y = 10. The coefficients of x and y match, but the constant terms are different (5 \neq 10). The lines are parallel, so the system has no solution and is inconsistent.

Related questions on Matrices & Determinants

Practice more NDA Mathematics questions