# NCERT Solutions For Class 9 Maths Chapter 8 Linear Equations in Two Variables Ex 8.1

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 9 |

Subject | Maths |

Chapter | Chapter 8 |

Exercise | Class 9 Chapter 8 Linear Equations in Two Variables Exercise 8.1 |

Number of Questions Solved | 6 |

## NCERT Solutions for Class 9 Maths Chapter 8 Linear Equations in Two Variables Ex 8.1

**NCERT TEXTBOOK EXERCISES**

**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 ₹ x and that of a pen to be ₹ y)**

**Solution:**

Let the cost of a notebook = ₹ x

and the cost of a pen = ₹ y

According to question,

Cost of a notebook = 2(cost of a pen)

∴ x = 2y

⇒ x- 2y = 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 – 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.$\overline { 35 }$

⇒ 2x + 3y – 9.$\overline { 35 }$ = 0

On comparing with ax+by+c = 0.

Then, the values of a = 2, b = 3 and c = 9.$\overline { 35 }$

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

On comparing with ax + by + c = 0, then the values of

a = 1, b = −1/5 and c = – 10

**(iii)** – 2x+ 3y = 6

⇒ -2x + 3y – 6=0

On comparing with ax + by + c = 0, then the values of a = – 2, b = 3 and c = – 6

**(iv)** x = 3y ⇒ x-3y+0=0

On comparing with ax + by + c = 0, then the values of a = 1, b = – 3 and c = 0.

**(v)** 2x = -5y

⇒ 2x + 5y + 0=0

On comparing with ax + by + c = 0, then the values of a = 2, b = 5 and c = 0.

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

⇒ 3x + 0y + 2 = 0

On comparing with ax + by + c = 0, then the values of a = 3, b = 0 and , c= 2.

**(vii)** y – 2 = 0

⇒0x+y-2 = 0

On comparing with ax + by + c = 0, then the values of a = 0, b = 1 and c = – 2.

**(viii)** 5 = 2x ⇒ 2x + 0y – 5 = 0

On comparing with ax + by + c = 0, then the values of a = 2, b = 0 and c = – 5.

## NCERT Solutions for Class 9 Maths Chapter 8 Linear Equations in Two Variables Exercise 8.1 PDF

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