**Telangana SCERT Solution Class IX (9) Math Chapter 6 Linear Equations in Two Variables Exercise 6.1**

**(1)(i) 8x + 5y – 3 = 0**

a = 8; b = 5; c = -3

**(ii) 28x + 35y = -7**

Or, 28x – 35y + 7 = 0

Or, 7(4x – 5y + 1) = 0

Or, 4x – 5y + 1 = 0

a = 4; b = -5; c = 1

**(iii) 93x = 12 – 15y**

Or, 93x + 15y – 12 = 0

Or, 3(31x + 5y – 4) = 0

Or, 31x + 5y – 4 =0

a = 31; b = 5; c = -4

**(iv) 2x = – 5y**

Or, 2x – 5y + 0 = 0

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

**(vii) 3x + 5y = 12**

Or, 3x + 5y – 12 = 0

a = 3; b = 5 ; c = – 12

**(2) **(i) 2x = 5

Or, 2x + 0y – 5 = 0

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

**(ii) y – 2 = 0**

Or, 0x + y – 2 = 0

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

**(3.) Express the following statements as a linear equation in two variables.**

(i) The sum of two numbers is 34.

(ii) The cost of a ball pen is ` 5 less than half the cost of a fountain pen.

(iii) Bhargavi got 10 more marks than double the marks of Sindhu.

(iv) The cost of a pencil is ` 2 and a ball point pen is ` 15. Sheela pays ` 100

for the pencils and pens she purchased.

(v) Yamini and Fatima of class IX together contributed ` 200/- towards the Prime

Minister’s Relief Fund.

(vi) The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If the digits in unit’s and ten’s place are ‘x’ and ‘y’ respectively

**Solution:**

**(3)** (i) Sum of two numbers is 34

Linear equation in two variable => x + y = 34

(ii) Let,

Cost of ball pen be X

Cost of fountain pen be y

X = ½ x y – 5

Or, x – (y )/2 + 5 = 0

Or, 2x – y + 10 = 0

(iii) Let,

Bhargavi marks be x

Sindhus marks be y

∴ x = 2y + 10

Or, x – 2y – 10 = 0