Question

check whether the following equation has consistency or not for x-y=5 and 3x-6y=15​

Answer 1

Answer:

No solution/Parallel lines

Step-by-step explanation:

The given two equations are

1: x - y = 5

2: 3x - 6y = 15

Here, a₁ = 1, a₂ = 3; b₁ = -1, b₂ = -6; c₁ = 5, c₂ = 15

Now, a₁/a₂ = 1/3; b₁/b₂ = -1/-6 = 1/6; c₁/c₂ = 5/15 = 1/3

Here, a₁/a₂ ≠ b₁/b₂ = c₁/c₂

Hence, these equations will have no solution as they are parallel lines.