Question

Fill in the blank: The lines of graphical representation of Pair of linear equations: -x + 2y = 5 and x - 8y = 15 will be _____.

1️⃣ Parallel
2️⃣ Intersecting
3️⃣ Coincident
4️⃣ None of these​

Answer 1

Answer:

I think it's parallell

coz, the lines of graphical representation of pair of linear equations I've

heard is always parallell

Answer 2

Answer:

2️⃣ Intersecting

Step-by-step explanation:

Graph for both the equations are given in attachment.

Algebraic method:

The first equation is -x + 2y = 5

• a₁ = -1
• b₁ = 2
• c₁ = 5

The second equation is x - 8y = 15

• a₂ = 1
• b₂ = -8
• c₂ = 15

(a₁ ÷ a₂) ≠ (b₁ ÷ b₂) ≠ (c₁ ÷ c₂)

So, the given pairs of linear equations in 2 variables are Intersecting.

KNOW MORE:

If (a₁ ÷ a₂) = (b₁ ÷ b₂) = (c₁ ÷ c₂), then lines are coincident.

If (a₁ ÷ a₂) = (b₁ ÷ b₂) ≠ (c₁ ÷ c₂), then lines are parallel.