Kya Class 10 mein Pair of Linear Equations mushkil lagti hain? Chinta mat karo! Aaj main tumhe ekdum aasan tarike se samjhaungi.
Pehle Yeh Samjho — Linear Equation Kya Hoti Hai
Linear equation mein x aur y hote hain aur dono ki power 1 hoti hai. Jaise:
2x + 3y = 12 — yeh linear equation hai
x – y = 4 — yeh bhi linear equation hai
Jab do aisi equations saath aayein — woh Pair of Linear Equations hai.
Real Life Se Samjho
Maan lo — ek dukaan mein:
2 pencil aur 3 pen ka daam = ₹12
1 pencil aur 1 pen ka daam = ₹5
Yeh do equations hain:
2x + 3y = 12
x + y = 5
Ab x aur y nikalna hai — matlab pencil aur pen ki alag alag keemat.
Solve Karne Ke Tarike
Tarika 1 — Substitution Method:
Ek equation se ek variable nikalo
Doosri equation mein daalo
Answer aa jayega.
Example:
x + y = 5 — toh x = 5 – y
2(5-y) + 3y = 12
10 – 2y + 3y = 12
y = 2 ✅
x = 5 – 2 = 3 ✅
Tarika 2 — Elimination Method:
Dono equations ko jodo ya ghatao
Ek variable khatam ho jaata hai.
Example:
2x + 3y = 12
2x + 2y = 10 (doosri equation × 2)
Ghatao — y = 2 ✅
x = 3 ✅
Yaad Rakhne Ka Aasan Tarika
Pair of Linear Equations ko do doston ki tarah socho — dono milke kaam karte hain. Substitution mein ek dost doosre ki madad karta hai — Elimination mein dono milke ek problem khatam karte hain
Toh dosto, yeh tha Pair of Linear Equations ka aasan tarika. Dono methods practice karo — board exam mein zaroor kaam aayega. Agar yeh article helpful laga to comment mein batao aur doston ke saath share karo.