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**Q.1Â Â Â Â Â Â The cost of a notebook is twice the cost of a pen. WriteÂ a linear equation in twoÂ variables to represent this statement.**

**Sol.Â **

Let the cost of notebook beÂ Rs x and that of a penÂ be Rs y.

SinceÂ the cost of a notebook is twiceÂ the costÂ of pen. So, theÂ required linear equation in two

variables to representÂ the aboveÂ statement is given by

x = 2y.

x â€“ 2y = 0

**Q.2Â Â Â Â Â Â Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each** **case :**

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **(i)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (ii) **

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â (iv) x = 3y

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â (vi) 3x + 2 = 0

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â (viii)Â 5 = 2x

(i) Â can be written as

On comparingÂ it with ax + by + c = 0 , we have

a = 2, b = 3 andÂ

(ii)Â On comparingÂ Â withÂ axÂ + by + c = 0, we have,

(iii)Â â€“2x + 3y = 6 can beÂ written as â€“ 2x + 3y â€“ 6 = 0

OnÂ comparingÂ it withÂ ax + by + c = 0 , we have

a = â€“ 2, b = 3 and c = â€“ 6

(iv)Â x = 3y canÂ be writtenÂ as x â€“ 3y = 0

OnÂ comparingÂ it withÂ ax + by + c = 0 , we have

a = 1, b = â€“ 3 and c = 0

(v)Â 2x = â€“ 5y can be writtenÂ asÂ 2x + 5y = 0

OnÂ comparingÂ it withÂ ax + by + c = 0 , we have

a = 2, b = 5 and c = 0

(vi)Â OnÂ comparingÂ 3x + 2 = 0 withÂ ax + by + c = 0 , weÂ have

a = 3, b = 0 and c = 2

(vii) OnÂ comparingÂ y â€“ 2 = 0 withÂ ax + by + c = 0,Â weÂ have

a = 0 , b = 1 and c = â€“ 2.

(viii)Â 5 = 2x can be writtenÂ as 2x â€“ 5 = 0

OnÂ comparingÂ withÂ ax + by + c = 0 , we have

a = 2, b = 0Â and c = â€“5.

orÂ Â Â â€“ 2x + 5 = 0 , we haveÂ a = â€“ 2, b = 0 , cÂ = 5

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