Solve: ("X" + 2)/3 - ("X" + 1)/5 = ("X" - 3)/4 - 1 - Mathematics

Advertisements
Advertisements
Sum

Solve: `("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`

Advertisements

Solution

`("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`  ...(L.C.M. of 3 and 5 = 15)

`=> (5("x" + 2) - 3("x" + 1))/15 = ("x" - 3 - 4)/4`


`=> (5"x" + 10 - 3"x" - 3)/15 = ("x" - 7)/4`


`=> (2"x" + 7)/15 = ("x" - 7)/4`


⇒ 4(2x + 7) = 15(x - 7)

⇒ 8x + 28 = 15x - 105

⇒ 8x - 15x = -105 - 28

⇒ -7x = - 133

x = `(-133)/(-7)`

∴ x = 19

Concept: Solving Linear Inequations
  Is there an error in this question or solution?
Chapter 14: Linear Equations in one Variable - Exercise 14 (C) [Page 169]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (C) | Q 1.1 | Page 169

RELATED QUESTIONS

Solve the following equation:

15 + x = 5x + 3


Solve: 5x - `("4x" + (5"x" -  4)/7) = ("4x" - 14)/3`


Six more than one-fourth of a number is two-fifth of the number. Find the number.


The length of a rectangle is twice its width. If its perimeter is 54 cm; find its length.


A rectangle’s length is 5 cm less than twice its width. If the length is decreased by 5 cm and width is increased by 2 cm; the perimeter of the resulting rectangle will be 74 cm. Find the length and width of the origi¬nal rectangle.


The sum of three consecutive odd numbers is 57. Find the numbers.


A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time?


Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`


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


A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article


Given that x ≥ y. Fill in the blank with suitable inequality sign

x + 6 `square` y + 6


Given that x ≥ y. Fill in the blank with suitable inequality sign

– xy `square` – y2


Linear inequation has almost one solution


Solve the following inequation

x ≤ 7, where x is a natural number


Solve the following inequation

x – 6 < 1, where x is a natural number


Solve the following inequation

2a + 3 ≤ 13, where a is a whole number


Solve the following inequation

6x – 7 ≥ 35, where x is an integer


Solve the following inequation

4x – 9 > – 33, where x is a negative integer


The cost of one pen is ₹ 8 and it is available in a sealed pack of 10 pens. If Swetha has only ₹ 500, how many packs of pens can she buy at the maximum?


Solve the following inequalities

6(x + 6) ≥ 5(x – 3), x is a whole number


Share
Notifications



      Forgot password?
Use app×