Maths-
General
Easy

Question

5x – y = 9
- 60x + 12y = - 108
How many solutions does the given system of equations have?

  1. Zero  
  2. Exactly one  
  3. Exactly two  
  4. Infinitely many  

The correct answer is: Infinitely many


    HINT: Solve the system of equations and find the number of solutions.
    Complete step by step Solution
    Given system of equations are:
    5 x minus y equals 9…(i)
    negative 60 x plus 12 y equals negative 108...(ii)
    On multiplying (i) with 12,
    We get, 60 x minus 12 y equals 108…(iii)
    On multiplying (iii) with -1, we get the equation same as that of (ii)
    On solving the same equations, we will have infinitely many solutions since they overlap each other.
    Hence option D is the answer.

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