Advertisements
Advertisements
Question
Solve the following equation and verify the answer:
3(x + 6) + 2(x + 3) = 64
Solution
3(x + 6) + 2(x + 3) = 64
⇒ 3 × x + 3 × 6 + 2 × x + 2 × 3 = 64 [On expanding the brackets]
⇒ 3x + 18 + 2x + 6 = 64
⇒ 5x + 24 = 64
⇒ 5x + 24 - 24 = 64 -24 [Subtracting 24 from both the sides]
⇒ 5x = 40
⇒ \[\frac{5x}{5} = \frac{40}{5}\] [Dividing both the sides by 5]
⇒ x = 8
Verification:
Substituting x = 8 in the L.H.S.:
\[3(8 + 6) + 2(8 + 3)\]
\[3(14) + 2(11)\]
\[42 + 22 = 64 = R . H . S .\]
L.H.S. = R.H.S.
Hence, verified.
APPEARS IN
RELATED QUESTIONS
Solve the following equation by trial and error method:
5p + 2 = 17
Write the given equation in statement form:
`p/2` + 2 = 8
Verify by substitution that the root of 8 − 7y = 1 is y = 1
A bag contains 25-paisa and 50-paisa coins whose total value is Rs 30. If the number of 25-paisa coins is four times that of 50-paisa coins, find the number of each type of coins.
The coefficient of x in −5xyz is
Fill in the blank.
An expression having one term is called a______
Write 'T' for true and 'F' for false for the statement given below:
The coefficient of x in 5xy is 5.
One-sixth of a number when subtracted from the number itself gives 25. The number is _______
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
z + 12 > 24
Solve the following riddles, you may yourself construct such riddles.
| Who am I? |
| Tell me who I am I shall give a pretty clue! You will get me back If you take me out of twenty two! |
