## Linear Equations In Two Variables

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Q1: The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

(Take the cost of a notebook to be Rs x and that of a pen to be Rs y.)

Answer:

Let the cost of a notebook and a pen be x and y respectively.

Cost of notebook = 2 ☓ Cost of pen

x = 2y

x − 2y = 0

**Q2: Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case:**

(i) 2x + 3y = 9.35

(i) 2x + 3y = 9.35

(ii) x - y/5 - 10 = 0

(iii) − 2x + 3 y = 6

(iv) x = 3y

(v) 2x = − 5y

(vi) 3x + 2 = 0

(vii) y − 2 = 0

(viii) 5 = 2x

(ii) x - y/5 - 10 = 0

(iii) − 2x + 3 y = 6

(iv) x = 3y

(v) 2x = − 5y

(vi) 3x + 2 = 0

(vii) y − 2 = 0

(viii) 5 = 2x