**KSEEB Solutions for Class 9 Maths Chapter 10 Linear Equations in Two Variables Ex 10.1** are part of KSEEB Solutions for Class 9 Maths. Here we have given Karnataka Board Class 9 Maths Chapter 10 Linear Equations in Two Variables Exercise 10.1.

## Karnataka Board Class 9 Maths Chapter 10 Linear Equations in Two Variables Ex 10.1

Question 1.

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).

Solution:

Let the cost of pen b Rs. x

If the cost of the Notebook is Rs. y.

Cost of 1 notebook is twice the cost of a pen.

∴ y = 2x

-2x + y = 0

If this is written in the form of

ax + by + c = 0 it is

-2x + y + 0 = 0

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

Question 2.

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

i) 2x + 3y = \(9 . \overline{35}\)

ii) x – \(\frac{y}{5}\) – 10 = 0

iii) -2x + 3y = 6

iv) x = 3y

v) 2x = -5y

vi) 3x + 2 = 0

vii) y – 2 = 0

viii) 5 = 2x

Solution:

i) 2x + 3y = \(9 . \overline{35}\)

OR 2x + 3y – \(9 . \overline{35}\) = 0

If we compare this to ax + by + c = 0,

Here, a = 2, b = 3, c = \(9 . \overline{35}\).

ii) x – \(\frac{y}{5}\) – 10 = 0

If we compare this to ax + by + c = 0,

Here, a = 1, b = \(\frac{-1}{5}\) , c=10.

iii) -2x + 3y = 6

OR -2x + 3y – 6 = 0

If we compare this to ax + by + c = 0,

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

iv) x = 3y

x – 3y = 0

x – 3y + 0 = 0

If we compare this to ax + by + c = 0,

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

v) 2x = -5y

2x + 5y = 0

2x + 5y + 0 = 0

If we compare this to ax + by + c = 0,

Here, a = 2, b = 5, c = 0.

vi) 3x + 2 = 0

3x + 0y + 2 = 0

If we compare this to ax + by + c = 0,

Here, a = 3, b = 0, c = 2.

vii) y – 2 = 0

0x + 1y – 2 = 0

If we compare this to ax + by + c = 0,

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

viii) 5 = 2x

-2x + 5 = 0

-2x + 0y + 5 = 0

If we compare this to ax + by + c = 0,

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

We hope the KSEEB Solutions for Class 9 Maths Chapter 10 Linear Equations in Two Variables Ex 10.1 help you. If you have any query regarding Karnataka Board Class 9 Maths Chapter 10 Linear Equations in Two Variables Exercise 10.1, drop a comment below and we will get back to you at the earliest.