RBSE Solutions for Class 8 Maths Chapter 11 Linear Equations with One Variable In Text Exercise

RBSE Solutions for Class 8 Maths Chapter 11 Linear Equations with One Variable In Text Exercise is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 11 Linear Equations with One Variable In Text Exercise.

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 8
Subject	Maths
Chapter	Chapter 11
Chapter Name	Linear Equations with One Variable
Exercise	In Text Exercise
Number of Questions	3
Category	RBSE Solutions

Rajasthan Board RBSE Class 8 Maths Chapter 11 Linear Equations with One Variable In Text Exercise

Page No: 125

Question
Let us practice to solve an equation : Equation 3x + 9 = 15 solution x = 2

On both sides	New equation	Solution
1. Adding 2	3x + 11 = 17	x = 2
2. Subtracting 3	3x + 6 = 12	x = …
3. Multiplying by 2	6x + 18 = …	x = …
4. Dividing by 3	… = 5	x = …

Solution:

On both sides	New equation	Solution
1. Adding 2	3x + 11 = 17	x = 2
2. Subtracting 3	3x + 6 = 12	x = 2
3. Multiplying by 2	6x + 18 = 30	x = 2
4. Dividing by 3	x + 3 = 5	x = 2

Page No: 128

Question 2.
Solve the following equations
1. [latex]\frac { 2x }{ x+6 }=1[/latex]
2. 10 = x + 3
3. 16 = 7x – 9
4. [latex]\frac { x+5 }{ x }[/latex] = [latex]2\frac { 2 }{ 3 }[/latex]
Solution:
1. [latex]\frac { 2x }{ x+6 }=1[/latex]
By cross(RBSESolutions.com)multiplication
2x = x + 6
⇒ 2x – x = 6 | On transposing x
⇒ x = 6

2. 10 = x + 3
⇒ 10 – 3 = x | On transposing 3
⇒ 7 = x
⇒ x = 7

3. 16 = 7x – 9
⇒ 16 + 9 = 7x | On transposing – 9
⇒ 25 = 7x
⇒ 7x = 25
⇒ [latex]\frac { 7x }{ 7 } =\frac { 25 }{ 7 } [/latex]
On dividing by 7 on both sides
[latex]x=\frac { 25 }{ 7 }[/latex]

4. [latex]\frac { x+5 }{ x }[/latex] = [latex]2\frac { 2 }{ 3 }[/latex]
[latex]\frac { x+5 }{ x }[/latex] = [latex]\frac { 2 }{ 3 }[/latex]
By cross(RBSESolutions.com)multiplication
⇒ 3(x + 5) = 8x
⇒ 3x + 15 = 8x
⇒ 3x – 8x = – 15
On transposing 8x and 15
⇒ – 5x = – 15
⇒ [latex]\frac { -5x }{ -5 } =\frac { -15 }{ -5 } [/latex] | On dividing by – 5 on both sides
x = 3

Page No: 129

Question 3.
Lets revise to make mathematical sentence, if there is any number x then fill in the blanks.
5 more than(RBSESolutions.com)the number = x + 5
3 less than the number = __
Half of the number = __
7 less half of the number = ___
4 more than one third of the number = ___
6 more(RBSESolutions.com)than triple of the number = ___
3 less than 5 times of the number = ___
Solution
5 more than the number = x + 5
3 less than the number = x – 3
Half of the number = [latex]\frac { 1 }{ 2 }x[/latex]
1 less half of the number = [latex]\frac { 1 }{ 2 }x-7[/latex]
4 more than one third of the number = [latex]\frac { 1 }{ 3 }x+4[/latex]
6 more than(RBSESolutions.com)triple of the number = 3x + 6
3 less than 5 times of the number = 5x – 3

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