Advertisements
Advertisements
Question
Solve the following equation and verify the answer:
5x − 3 = x + 17
Solution
5x − 3 = x + 17
⇒ 5x − x = 17 + 3 [Transposing x to the L.H.S. and 3 to the R.H.S.]
⇒ 4x = 20
⇒ `(4x)/4`=`(20)/4` [Dividing both the sides by 4]
⇒ x = 5
Verification:
Substituting x = 5 on both the sides:
L.H.S.: 5(5) − 3
⇒ 25 − 3
⇒ 22
R.H.S.: 5 + 17 = 22
⇒ L.H.S. = R.H.S.
Hence, verified.
APPEARS IN
RELATED QUESTIONS
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| x - 7 = 1 | x = 8 |
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| `m/3 = 2` | m = -6 |
Write equation for the following statement:
Seven times m plus 7 gets you 77.
Write equation for the following statement:
If you take away 6 from 6 times y, you get 60.
Write the given equation in statement form:
4p − 2 = 18
Add 7xyz, − 5xyz, 9xyz, −8xyz
Solve the following equation by the trial-and-error method: `1/2x+7=11`
Answer the following:
Take Sarita’s present age to be y years
- What will be her age 5 years from now?
- What was her age 3 years back?
- Sarita’s grandfather is 6 times her age. What is the age of her grandfather?
- Grandmother is 2 years younger than grandfather. What is grandmother’s age?
- Sarita’s father’s age is 5 years more than 3 times Sarita’s age. What is her father’s age?
A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using v.
Change the following statements using expressions into statements in ordinary language.
(For example, Given Salim scores r runs in a cricket match, Nalin scores (r + 15) runs. In ordinary language − Nalin scores 15 runs more than Salim.)
In an arrangement of dots, there are r rows. Each row contains 5 dots.
