English

Solve: (2"X" + 1)/("3x" - 2) = 1 1/4 - Mathematics

Advertisements
Advertisements

Question

Solve: `(2"x" + 1)/("3x" - 2) = 1 1/4`

Sum

Solution

`(2"x" + 1)/("3x" - 2) = 1 1/4`

⇒ `(2"x" + 1)/("3x" - 2) = 5/4`

By cross multiplication

(3x - 2)× 5 = 4 (2x + 1)

⇒ 15x - 10 = 8x + 4

⇒ 15x - 8x = 4 + 10

⇒ 7x = 14

⇒ x = `14/7 = 2`

∴ x = 2

shaalaa.com
Simple Linear Equations in One Variable
  Is there an error in this question or solution?
Chapter 12: Simple Linear Equations (Including Word Problems) - Exercise 12 (C)

APPEARS IN

Selina Concise Mathematics [English] Class 7 ICSE
Chapter 12 Simple Linear Equations (Including Word Problems)
Exercise 12 (C) | Q 24

RELATED QUESTIONS

6(x+4) = 36


Solve: `"3a"/4 + "a"/6 = 66`


Solve: 10% of x = 20


Solve: `("x" + 4)/2 + "x"/3 = 7`


The sum of two numbers is 18. If one is twice the other, find the numbers.


Solve the following equations for the unknown: (6p + 9)2 + (8p - 7)2 = (10p + 3)2 - 71


Solve the following equation for the unknown: `(9y)/(4) - (5y)/(3) = (1)/(5)`


Solve the following equations for the unknown: `(7)/(x - 2) - (5)/(3)` = 3, x ≠ 2


Solve the following equations for the unknown: `(3x - 5)/(7x - 5) = (1)/(9), x ≠ (5)/(7)`


Solve the following equations for the unknown: `(7 x - 1)/(4) - (1)/(3)(2x - (1 - x)/2) = 5(1)/(3)`


Solve the following equations: a(x - b) -x (x - 2b) = x + 5(x - b)


The sum of the squares of two consecutive odd natural numbers is 650. Find the two numbers.


In a two-digit number, the digit at the ten's place is 4 times the digit at the unit's place.The sum of the digits and the number is 92. Find the two digit number.


The speed of a boat in still water is 8km/h. It takes the same time in going 20km in downstream as it takes in going 12 km upstream. Find the speed of the stream.


A and B together can complete a piece of work in 6 days. A can do it alone in 10 days. Find the number of days in which B alone can do the work.


The age of a man is three times the age of his son. After 10 years, the age of the man will be double that of his son. Find their present ages.


The length of a room exceeds its breadth by 3 m. If both the length and breadth, are increased by 1m, then the area of the room is increased by 18 cm2. Find the length and breadth of the room.


A tap can fill a tank in 12 hrs while another tap can fill the same tank in x hours. Both the taps if opened together fill the tank in 6 hrs and 40 minutes. Find the time the second tap will take to fill the tank.


A man buys two articles at Rs 410. He sells both at the same price. On one he makes a profit of 15% and on the other a loss of 10%. Find the cost price of both.


How many kilograms of tea at Rs 50 per kg should be mixed with 35 kg of tea costing Rs 60 per kg so as to sell the mixture at Rs 57 per kg without gaining or losing anything in transaction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×