Advertisements
Advertisements
प्रश्न
Solve: `y + y/2 = 7/4 - y/4`
उत्तर १
`y + y/2 = 7/4 - y/4`
⇒ `y/1 + y/2 = 7/4 - y/4`
⇒ `(4y + 2y = 7 - y)/4`
⇒ 4y + 2y = 7 - y
⇒ 4y + 2y ⇒ 7y = 7
⇒ y = `7/7 = 1`
∴ y = 1
उत्तर २
`y + y/2 = 7/4 - y/4`
`y + y/2 = (2y)/2 + y/2 = (3y)/2`
The equation now becomes:
`(3y)/2 = 7/4 - y/4`
Combine terms on the right-hand side
`7/4 - y/4 = (7-y)/4`
`(3y)/2 = (7-y)/4`
Multiply through by the least common denominator (LCD), which is 4:
`4xx (3y)/2 = 4xx (7-y)/4`
2 × 3y = 7 − y.
6y = 7 − y
Add y to both sides to isolate y terms on one side: 6y + y = 7
7y = 7
Divide both sides by 7
y = 1.
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
`("2x" - 13)/5 - ("x" - 3)/11 = ("x" - 9)/5 + 1`
Solve the following equation:
5x – 1 = 74
Solve the following equation:
14 = 27 - x
Solve the following equation:
`"x" + 1/4 = - 3/8`
Solve the following equation:
- 3x = 15
Solve the following equation:
3p – 1 = 8
Solve: `"x"/3 - "x"/4 = 2`
The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plot is 142 m, find the length and the breadth of the plot.
A sum of ₹ 500 is in the form of notes of denominations of ₹ 5 and ₹ 10. If the total number of notes is 90, find the number of notes of each type.
Solve the following equations: a(x - b) -x (x - 2b) = x + 5(x - b)
Solve the following equations: a(2x - b) - b(3x - a)+a(x + 1) = b(x + 5)
Shweta's age is six times that of Jayeeta's age. 15 years hence Shweta will be three times as old as Jayeeta; find their ages.
The ages of P and Q are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their ages.
A man covers a distance of 95 km in 5 hours; partly on foot at the rate of 5 km/h and partly on a motorcycle at 40km/h. Find the distance travelled by him on the motorcycle.
If a motorcyclist drives at the rate of 24km/h, he reaches his destination 5 minutes too late. If he drives at the rate of 30 km/h, he reaches his destination 4minutes too soon. How far is his destination?
The perimeter of a rectangular field is 80 m. If the breadth is increased by 2 m and the length is decreased by 2 m, the area of the field increases by 36 m2. Find the length and the breadth of the field.
What number increased by 15% of itself gives 2921?
A boy played 100 games, gaining Rs. 50 on each game that he won, and losing Rs. 20 for each game that he lost. If on the whole he gained Rs. 800, find the number of games that he won.
There are certain benches in a classroom. If 4 students sit on each bench, 3 benches are left vacant; and if 3 students sit on each bench, 3 students are left standing. What is the total number of students in the class?
The breadth of a rectangular room is 2 m less than its length. If the perimeter of the room is 14m, find it's dimensions.
