RD Sharma solutions for Mathematics [English] Class 8 chapter 9 - Linear Equation in One Variable [Latest edition]

Solve the following equation and also verify your solution:
\[9\frac{1}{4} = y - 1\frac{1}{3}\]

Solve the following equation and also verify your solution:
\[\frac{5x}{3} + \frac{2}{5} = 1\]

Solve the following equation and also verify your solution:
\[\frac{x}{2} + \frac{x}{3} + \frac{x}{4} = 13\]

Solve the following equation and also verify your solution:

Solve the following equation and also verify your solution:
\[\frac{2x}{3} - \frac{3x}{8} = \frac{7}{12}\]

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

Solve the following equation and also verify your solution:

Solve the following equation and also verify your solution:
\[\frac{7}{x} + 35 = \frac{1}{10}\]

Solve the following equation and also verify your solution:

Solve the following equation and also verify your solution:
13(y − 4) − 3(y − 9) − 5(y + 4) = 0

Solve the following equation and also verify your solution:
\[\frac{2}{3}(x - 5) - \frac{1}{4}(x - 2) = \frac{9}{2}\]

Solve the following equation and also check your result:
\[\frac{2x + 5}{3} = 3x - 10\]

Solve the following equation and also check your result:

Solve the following equation and also check your result:
\[\frac{7y + 2}{5} = \frac{6y - 5}{11}\]

Solve the following equation and also check your result:
\[x - 2x + 2 - \frac{16}{3}x + 5 = 3 - \frac{7}{2}x\]

Solve the following equation and also check your result:
\[\frac{1}{2}x + 7x - 6 = 7x + \frac{1}{4}\]

Solve the following equation and also check your result:

Solve the following equation and also check your result:
\[\frac{7}{2}x - \frac{5}{2}x = \frac{20}{3}x + 10\]

Solve the following equation and also check your result :
\[\frac{6x + 1}{2} + 1 = \frac{7x - 3}{3}\]

Solve the following equation and also check your result:
\[\frac{3a - 2}{3} + \frac{2a + 3}{2} = a + \frac{7}{6}\]

Solve the following equation and also check your result :

Solve the following equation and also check your result:

\[\frac{3x}{4} - \frac{(x - 1)}{2} = \frac{(x - 2)}{3}\]

Solve each of the following equation and also check your result in each case:
\[\frac{5x}{3} - \frac{(x - 1)}{4} = \frac{(x - 3)}{5}\]

Solve the following equation and also check your result:
\[\frac{(3x + 1)}{16} + \frac{(2x - 3)}{7} = \frac{(x + 3)}{8} + \frac{(3x - 1)}{14}\]

Solve each of the following equation and also check your result in each case:
\[\frac{(1 - 2x)}{7} - \frac{(2 - 3x)}{8} = \frac{3}{2} + \frac{x}{4}\]

Solve the following equation and also check your result:

Solve each of the following equation and also check your result in each case:
0.18(5x − 4) = 0.5x + 0.8

Solve the following equation and also check your result:
\[\frac{2}{3x} - \frac{3}{2x} = \frac{1}{12}\]

Solve the following equation and also check your result:
\[\frac{4x}{9} + \frac{1}{3} + \frac{13}{108}x = \frac{8x + 19}{18}\]

Solve the following equation and also check your result:

Solve the following equation and also check your result:
\[5\left( \frac{7x + 5}{3} \right) - \frac{23}{3} = 13 - \frac{4x - 2}{3}\]

Solve the following equation and also check your result:

Solve the following equation and also check your result:

Solve the following equation and also check your result:
\[6 . 5x + \frac{19 . 5x - 32 . 5}{2} = 6 . 5x + 13 + \left( \frac{13x - 26}{2} \right)\]

Solve the following equation and also check your result:
(3x − 8)(3x + 2) − (4x − 11)(2x + 1) = (x − 3)(x + 7)

Solve the following equation and also check your result:
[(2x + 3) + (x + 5)]² + [(2x + 3) − (x + 5)]² = 10x² + 92

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:
\[\left( \frac{x + 1}{x - 4} \right)^2 = \frac{x + 8}{x - 2}\]

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Solve the following equation and verify your answer:

Find a positive value of x for which the given equation is satisfied:

Find a positive value of x for which the given equation is satisfied:

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 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to \[\frac{2}{3}\]. What is the original fraction equal to?

Seeta Devi has Rs 9 in fifty-paise and twenty five-paise coins. She has twice as many twenty-five paise coins as she has fifty-paise coins. How many coins of each kind does she have?

Sunita is twice as old as Ashima. If six years is subtracted from Ashima's age and four years added to Sunita's age, then Sunita will be four times Ashima's age. How old were they two years ago?

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

I am currently 5 times as old as my son. In 6 years time I will be three times as old as he will be then. What are our ages now?

At a party, colas, squash and fruit juice were offered to guests. A fourth of the guests drank colas, a third drank squash, two fifths drank fruit juice and just three did not drink any thing. How many guests were in all?

There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct answer and for every unattempted or wrongly answered question one mark is deducted from the total score of correct answers. If a candidate scored 450 marks in the test, how many questions did he answer correctly?

Ravish has three boxes whose total weight is \[60\frac{1}{2}\]  kg. Box B weighs \[3\frac{1}{2}\] kg more than box A and box C weighs \[5\frac{1}{3}\] kg more than box B. Find the weight of box A.