Refer the table.

If there are two equations:

1. a₁x+b₁y=c
2. a₂x+b₂y=c

Then, the table conditions apply.

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1. Lets solve it step by step.

• x + 2y = 8
• 2x - 3y=2

We can stop here because:

So, they are intersecting lines.

⊱ ──────  ✯  ────── ⊰

2. Lets solve it step by step.

• 2x + 3y = -6
• 4x + 6y = 12

We can conclude that:

So, they are parallel lines.

⊱ ──────  ✯  ────── ⊰

3. Lets solve it step by step.

• 2x - 3y = -6
• -x + y = 3

We can stop here because:

So, they are intersecting lines.

★═════════(✷‿✷)══════════★

Thats all for now!