Selina Textbook Solutions: Simple Linear Equations | Mathematics Class 6 ICSE PDF Download

 Page 1


IMPORTANT POINTS 
1. Simple Equations : A mathematical statement, which states that two expressions 
are equal, is called simple equation. 
2. Properties of Simple Equation : 
(i) If same quantity is added to both the sides of simple equation, the sums are equal. 
For Example : 
x = 6 ? x + a = 6 + a [Adding a on both the sides] 
(ii) If same quantity is subtracted from both the sides of simple equation, the remainders 
are equal. 
For Example : 
x = 6 ? x-a = 6 – a [Subtracting a on both the sides] 
(iii) If both the sides of an equation are multiplied by the same quantity, the products are 
equal. 
For Example : 
x = 6 ? a x x = a x 6 i.e. ax = 6a [Multiplying both the sides by a] 
(iv) If both the sides of simple equation are divided by the same quantity, the quotients 
are equal. 
For Example : 
x = 6 ?  =  [Dividing both the sides by a] 
EXERCISE 22 (A) 
Question 1. 
Solve: 
 
 
Solution: 
Page 2


IMPORTANT POINTS 
1. Simple Equations : A mathematical statement, which states that two expressions 
are equal, is called simple equation. 
2. Properties of Simple Equation : 
(i) If same quantity is added to both the sides of simple equation, the sums are equal. 
For Example : 
x = 6 ? x + a = 6 + a [Adding a on both the sides] 
(ii) If same quantity is subtracted from both the sides of simple equation, the remainders 
are equal. 
For Example : 
x = 6 ? x-a = 6 – a [Subtracting a on both the sides] 
(iii) If both the sides of an equation are multiplied by the same quantity, the products are 
equal. 
For Example : 
x = 6 ? a x x = a x 6 i.e. ax = 6a [Multiplying both the sides by a] 
(iv) If both the sides of simple equation are divided by the same quantity, the quotients 
are equal. 
For Example : 
x = 6 ?  =  [Dividing both the sides by a] 
EXERCISE 22 (A) 
Question 1. 
Solve: 
 
 
Solution: 
 
 
Page 3


IMPORTANT POINTS 
1. Simple Equations : A mathematical statement, which states that two expressions 
are equal, is called simple equation. 
2. Properties of Simple Equation : 
(i) If same quantity is added to both the sides of simple equation, the sums are equal. 
For Example : 
x = 6 ? x + a = 6 + a [Adding a on both the sides] 
(ii) If same quantity is subtracted from both the sides of simple equation, the remainders 
are equal. 
For Example : 
x = 6 ? x-a = 6 – a [Subtracting a on both the sides] 
(iii) If both the sides of an equation are multiplied by the same quantity, the products are 
equal. 
For Example : 
x = 6 ? a x x = a x 6 i.e. ax = 6a [Multiplying both the sides by a] 
(iv) If both the sides of simple equation are divided by the same quantity, the quotients 
are equal. 
For Example : 
x = 6 ?  =  [Dividing both the sides by a] 
EXERCISE 22 (A) 
Question 1. 
Solve: 
 
 
Solution: 
 
 
 
 
Page 4


IMPORTANT POINTS 
1. Simple Equations : A mathematical statement, which states that two expressions 
are equal, is called simple equation. 
2. Properties of Simple Equation : 
(i) If same quantity is added to both the sides of simple equation, the sums are equal. 
For Example : 
x = 6 ? x + a = 6 + a [Adding a on both the sides] 
(ii) If same quantity is subtracted from both the sides of simple equation, the remainders 
are equal. 
For Example : 
x = 6 ? x-a = 6 – a [Subtracting a on both the sides] 
(iii) If both the sides of an equation are multiplied by the same quantity, the products are 
equal. 
For Example : 
x = 6 ? a x x = a x 6 i.e. ax = 6a [Multiplying both the sides by a] 
(iv) If both the sides of simple equation are divided by the same quantity, the quotients 
are equal. 
For Example : 
x = 6 ?  =  [Dividing both the sides by a] 
EXERCISE 22 (A) 
Question 1. 
Solve: 
 
 
Solution: 
 
 
 
 
Question 2. 
Solve: 
 
Solution: 
 
Page 5


IMPORTANT POINTS 
1. Simple Equations : A mathematical statement, which states that two expressions 
are equal, is called simple equation. 
2. Properties of Simple Equation : 
(i) If same quantity is added to both the sides of simple equation, the sums are equal. 
For Example : 
x = 6 ? x + a = 6 + a [Adding a on both the sides] 
(ii) If same quantity is subtracted from both the sides of simple equation, the remainders 
are equal. 
For Example : 
x = 6 ? x-a = 6 – a [Subtracting a on both the sides] 
(iii) If both the sides of an equation are multiplied by the same quantity, the products are 
equal. 
For Example : 
x = 6 ? a x x = a x 6 i.e. ax = 6a [Multiplying both the sides by a] 
(iv) If both the sides of simple equation are divided by the same quantity, the quotients 
are equal. 
For Example : 
x = 6 ?  =  [Dividing both the sides by a] 
EXERCISE 22 (A) 
Question 1. 
Solve: 
 
 
Solution: 
 
 
 
 
Question 2. 
Solve: 
 
Solution: 
 
 
 
Question 3. 
Solve: