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

The system has no solutions.

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