Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 14 - Linear Equations in one Variable [Latest edition]

Solve the following equation:

20 = 6 + 2x

Solve the following equation:

15 + x = 5x + 3

Solve the following equation:

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

Solve the following equation:

3a - 4 = 2(4 - a)

Solve the following equation:

3(b - 4) = 2(4 - b)

Solve the following equation:

`("x"+2)/9 = ("x" + 4)/11`

Solve the following equation:

`("x"- 8)/5 = ("x" - 12)/9`

Solve the following equation:

5(8x + 3) = 9(4x + 7)

Solve the following equation:

3(x + 1) = 12 + 4(x - 1)

Solve the following equation:

`"3x"/4 - 1/4("x" - 20) = "x"/4 + 32`

Solve the following equation:

`3"a" - 1/5 = "a"/5 + 5 2/5`

Solve the following equation:

`"x"/3 - 2 1/2 = "4x"/9 - "2x"/3`

Solve the following equation:

`(4(y + 2))/5 = 7 + "5y"/13`

Solve the following equation:

`("a" + 5)/6 - ("a" + 1)/9 = ("a" + 3)/4`

Solve the following equation:

`("2x" - 13)/5 - ("x" - 3)/11 = ("x" - 9)/5 + 1`

Solve the following equation:

6(6x - 5) - 5(7x - 8) = 12(4 - x) + 1

Solve the following equation:

(x - 5)(x + 3) = (x - 7)(x + 4)

Solve the following equation:

(x – 5)² – (x + 2)² = -2 

Solve the following equation:

(x - 1 )(x + 6) - (x - 2)(x - 3) = 3

Solve the following equation:

`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`

Solve the following equation:

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

Solve the following equation:

`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`

Solve the following equation:

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

Solve: `"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6` Hence, find the value of 'a', if `1/"a" + 5"x" = 8`

Solve: `(4-3"x")/5 + (7 - "x")/3 + 4 1/3 = 0` Hence, find the value of 'p', if 3p - 2x + 1 = 0

Solve: 0.25 + `1.95/"x" = 0.9`

Solve:

`5x − (4x + (5x -  4)/7) = (4x - 14)/3`

Fifteen less than 4 times a number is 9. Find the number.

If Megha’s age is increased by three times her age, the result is 60 years. Find her age

28 is 12 less than 4 times a number. Find the number.

Five less than 3 times a number is -20. Find the number.

Fifteen more than 3 times Neetu’s age is the same as 4 times her age. How old is she ?

A number decreased by 30 is the same as 14 decreased by 3 times the number; Find the number.

A’s salary is same as 4 times B’s salary. If together they earn Rs.3,750 a month, find the salary of each.

Separate 178 into two parts so that the first part is 8 less than twice the second part.

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’s age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.

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?

A man completed a trip of 136 km in 8 hours. Some part of the trip was covered at 15 km/hr and the remaining at 18 km/hr. Find the part of the trip covered at 18 km/hr.

The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.

Two consecutive natural numbers are such that one-fourth of the smaller exceeds one-fifth of the greater by 1. Find the numbers.

Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.

If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.

The present age of a man is twice that of his son. Eight years hence, their ages will be in the ratio 7 : 4. Find their present ages

Solve: `1/3"x" - 6 = 5/2`

Solve: `(2"x")/3 - (3"x")/8 = 7/12`

Solve the following equation and also verify your solution:
(x + 2)(x + 3) + (x − 3)(x − 2) − 2x(x + 1) = 0

Solve:

`1/10 - 7/x = 35`

Solve:

13(x − 4) - 3(x − 9) − 5(x + 4) = 0

Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`

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

Solve:

`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`

Solve: `2/"5x" - 5/"3x" = 1/15`

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

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

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

Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`

Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`

After 12 years, I shall be 3 times as old as 1 was 4 years ago. Find my present age.

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

The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.

The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.

The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

Find a number such that when 5 is subtracted from 5 times the number, the result is 4 more than twice the number.

The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator, and denominator both, the fraction becomes`4/5`. Find the original fraction.