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EQ006 · Equations & inequalities · Classes 9–12

Simultaneous Equations

Two equations solved together; the solution is where their lines meet.

📐 Formula

m₁x + c₁ = m₂x + c₂ → x = (c₂ − c₁) ÷ (m₁ − m₂)

✏️ Worked example

y = −x + 4 and y = x: x = 2, y = 2.

🌍 Where it is used

Mixing problems, pricing and break-even analysis.

❓ Quick check

Parallel lines have how many common solutions?