NCERT Solutions for Class 9 Maths Chapter 8 Linear Equations in Two Variables Ex 8.4 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 8 Linear Equations in Two Variables Ex 8.4.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 9 |

Subject |
Maths |

Chapter |
Chapter 8 |

Chapter Name |
Linear Equations in Two Variables |

Exercise |
Ex 8.4 |

Number of Questions Solved |
2 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 9 Maths Chapter 8 Linear Equations in Two Variables Ex 8.4

**Question 1.**

**Give the geometric representations of y = 3 as an equation**

**(i) in one variable.**

**(ii) in two variables.**

**Solution:**

The given linear equation is

y=3 …(i)

**(i)** The representation of the solution on the number line is shown in the figure below, where y = 3 is treated as an equation in one variable.

**(ii)** We know that, y = 3 can be written as

0 . x + y = 3

which is a linear equation in the variables x and y. This is represented by a line. Now, all the values of x are permissible because 0 . x is always 0.

However, y must satisfy the equation y = 3.

Note that, the graph AB is a line parallel to the x-axis and at a distance of 3 units to the upper side of it.

**Question 2.**

**Give the geometric representations of 2x + 9 = 0 as an equation**

**(i) in one variable.**

**(ii) in two variables.**

**Solution:**

The given linear equation is

2x + 9=0

⇒ x = –\(\frac { 9 }{ 2 }\) …. ( i)

**(i)** The representation of the solution on the number line is shown in the figure below, where x = –\(\frac { 9 }{ 2 }\) is treated as an equation in one variable.

**(ii)** We know that, 2x + 9= 0 can be written as

2x + 0y + 9 = 0

which is a linear equation in two variables x and y.

This is represented by a line.

Now, all the values of y are permissible because 0 .

y is always 0.

However, x must satisfy the equation 2x + 9 = 0.

Note that, the graph AB is a line parallel to the y-axis and at a distance of – \(\frac { 9 }{ 2 }\) = – 4.5 to the left of it.

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