Solve for x , and check the solution. 3 x + 2 x = 1 + 2 x

Given equation: 3 x + 2 x = 1 + 2 x ⇒ 3 x + 2 x = x + 2 x Multiplying both sides of the equation by x we get ⇒ 3 x + 2 = x + 2 . . . . . . . . . . . ( 1 ) ⇒ 3 x - x = 2 - 2 ⇒ 2 x = 0 ⇒ x = 0 Checking solution: Substituting x = 0 in the equation ( 1 ) , we get LHS = 3 x + 2 = 3 ( 0 ) + 2 = 2 RHS = x + 2 = 0 + 2 = 2 LHS = RHS

Solve for x , and check the solution. 3 x + 2 x = 1 + 2 x

Given equation: 3 x + 2 x = 1 + 2 x ⇒ 3 x + 2 x = x + 2 x Multiplying both sides of the equation by x we get ⇒ 3 x + 2 = x + 2 . . . . . . . . . . . ( 1 ) ⇒ 3 x - x = 2 - 2 ⇒ 2 x = 0 ⇒ x = 0 Checking solution: Substituting x = 0 in the equation ( 1 ) , we get LHS = 3 x + 2 = 3 ( 0 ) + 2 = 2 RHS = x + 2 = 0 + 2 = 2 LHS = RHS

E M B I B E

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 2 - Linear Equation In One Variable>MISCELLANEOUS EXERCISE>Q 6

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

Earn 100

Solve for $x$ , and check the solution.

$\frac{3 x + 2}{x} = 1 + \frac{2}{x}$

Important Questions on Linear Equation In One Variable

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 2 - Linear Equation In One Variable>MISCELLANEOUS EXERCISE>Q 7

The sum of three consecutive multiples of

7

is zero. Find the integers.

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 2 - Linear Equation In One Variable>MISCELLANEOUS EXERCISE>Q 8

The age of Aqib and Saima are in the ratio of

1 : 2

. After

11

years their ratio in age's will be

2 : 3

. Find their present ages.

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 2 - Linear Equation In One Variable>MISCELLANEOUS EXERCISE>Q 9

A man has

₹ 49

in coins of denominations of

₹ 10, ₹ 5

and

₹ 1

. The ratio between

₹ 10

coins and

₹ 5

coins is

1 : 2

and total coins are

15

. How many coins of each denomination have the man?

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 2 - Linear Equation In One Variable>MISCELLANEOUS EXERCISE>Q 10

Divide

₹ 243

into three parts such that half of the first Part, one-third of the second part and one-fourth of the third part shall be equal.

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 2 - Linear Equation In One Variable>MISCELLANEOUS EXERCISE>Q 11

There are chairs in the room. If

2

guests share a chair, one chair remains vacant and if each guest sits on a chair one guest remains standing. What is the number of guests?

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 2 - Linear Equation In One Variable>MISCELLANEOUS EXERCISE>Q 12

There are birds on two trees. If a bird blew from first to second tree then there are equal number of birds in each tree. However if a bird flew from second to first tree then the birds on first tree are double than the birds on second tree. How many birds are on each tree?