Question

Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions.

y=6x+2y=6x+2 and y=6x-4y=6x−4

Answer 1

Answer:

          The system has no solutions.

Step-by-step explanation:

y = 6x + 2     ⇒    6x - y = -2

y = 6x - 4      ⇒    6x - y = 4

a₁ = a₂ = 6  ,  b₁ = b₂ = -1 ,  c₁ = -2 , c₂ = 4

a₁ = a₂ = 6   and  b₁ = b₂ = -1  and  c₁ ≠ c₂  ⇒  NO SOLUTIONS