# Linear Equations in Two Variables

EXERCISE 1

Question - 1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent the above statement.

Solution:- Let the cost of a notebook be x and that of a pen be y.

According to question,

The cost of a notebook is twice the cost of a pen

Or, x = 2y

Or, x - 2y = 0.

Q2. Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case: (iii) -2x + 3y = 6

(iv) x = 3y

(v) 2x = -5y

(vi) 3x + 2 = 0

(vii) y – 2 = 0

(viii) 5 = 2x  (iii) -2x + 3y = 6

Or, -2x + 3y – 6 = 0

Comparing the equation with ax + by + c = 0, we have

a = -2, b = 3, c = -6

(iv) x = 3y

Or, x - 3y = 0

Comparing the equation with ax + by + c = 0, we have

a = 1, b = -3, c = 0

(v) 2x = -5y

Or, 2 x + 5y = 0

Comparing the equation with ax + by + c = 0, we have

a = 2, b = 5, c = 0

(vi) 3x + 2 = 0

3 x + 0y + 2 = 0

Comparing the equation with ax + by + c = 0, we have

a = 3, b = 0, c = 2

(vii) y – 2 = 0

Or, 0 x + 1y - 2 = 0

Comparing the equation with ax + by + c = 0, we have

a = 0, b = 1, c = -2

(viii) 5 = 2x

Or, -2x - 0y + 5 = 0

Comparing the equation with ax + by + c = 0, we have

a = -2, b = 0, c = 5

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