Advertisements
Advertisements
प्रश्न
Write two equations for which 2 is the solution.
उत्तर
Let the two numbers be x and y, which has solution 2 in equation.
(i) For getting first equation, the number x is multiplied by 2, then the number is 2x.
After that, 3 is subtracted from it which result into 1.
Hence, `2x - 3` = 1
`2x` = 3 + 1 .....[Transposing – 3 to RHS]
⇒ `2x` = 4
⇒ `(2x)/2 = 4/2` ......[Dividing both sides by 2]
⇒ `x` = 2
(ii) For getting second equation, the number y is multiplied by 3, then the number is 3y.
After that, it will be added to 4 which result into 10.
Hence, 3y + 4 = 10
On solving, 3y = 10 – 4
⇒ 3y = 6 .....[Transposing + 4 to RHS]
⇒ `(3y)/3 = 6/3` ......[Dividing both sides by 3]
⇒ y = 2
Hence, two equations are 2x – 3 = 1 and 3y + 4 = 10.
APPEARS IN
संबंधित प्रश्न
If a and b are positive integers then the solution of the equation ax = b has to be always _______
If a train runs at 60 km/hr it reaches its destination late by 15 minutes. But, if it runs at 85 kmph it is late by only 4 minutes. Find the distance to be covered by the train.
The generalization of the number pattern 3, 6, 9, 12, ... is
The equation y + 1 = 0 is true only when y is
If A’s age is ‘n’ years now, 7 years ago A’s age was _____________
Which of the following is an equation?
If x takes the value 2, then the value of x + 10 is ______.
a = 3 is a solution of the equation 2a – 1 = 5.
In a village, there are 8 water tanks to collect rain water. On a particular day, x litres of rain water is collected per tank. If 100 litres of water was already there in one of the tanks, what is the total amount of water in the tanks on that day?
| Column I | Column II |
| (i) The number of corners of a quadrilateral | (A) = |
| (ii) The variable in the equation 2p + 3 = 5 | (B) constant |
| (iii) The solution of the equation x + 2 = 3 | (C) +1 |
| (iv) solution of the equation 2p + 3 = 5 | (D) –1 |
| (v) A sign used in an equation | (E) p |
| (F) x |
