If two equations are y=2 and y=-5 how many solutions does the system of equations have?

A ) No solution ✅

B ) Unique solution

C ) Two solution

D ) Infinite solutions


Explanation:

If two equations are y=2 and y=-5 how many solutions does the system of equations have?

Solution :

  • If both equations are y = constant:
    • Different constants → 0 solutions (Parallel lines)
    • Same constants → Infinite solutions (Same line)

Here:

y = 2

y = -5

Since 2 ≠ -5, the lines are parallel and never intersect.

Answer: 0 (No Solution)

Competitive Exam Rule:

  • Different slopes → 1 solution
  • Same slope, different intercepts → 0 solutions
  • Same slope, same intercept → Infinitely many solutions