2(+1)−3+7=5 Answer the following question (CH- linear equations with one variable)
Answers
2(+1)−3+7=5 Answer the following question (CH- linear equations with one variable)Page No 24:
Question 10:
Solve:
ANSWER:
14y − 8 = 13
Transposing 8 to R.H.S, we obtain
14y = 13 + 8
14y = 21
Dividing both sides by 14, we obtain
Page No 24:
Question 11:
Solve:
ANSWER:
17 + 6p = 9
Transposing 17 to R.H.S, we obtain
6p = 9 − 17
6p = −8
Dividing both sides by 6, we obtain
Page No 24:
Question 12:
Solve:
ANSWER:
Transposing 1 to R.H.S, we obtain
Multiplying both sides by 3, we obtain
Page No 28:
Question 1:
If you subtract from a number and multiply the result by, you get. What is the number?
ANSWER:
Let the number be x. According to the question,
On multiplying both sides by 2, we obtain
On transposing to R.H.S, we obtain
Therefore, the number is .
Page No 28:
Question 2:
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
ANSWER:
Let the breadth be x m. The length will be (2x + 2) m.
Perimeter of swimming pool = 2(l + b) = 154 m
2(2x + 2 + x) = 154
2(3x + 2) = 154
Dividing both sides by 2, we obtain
3x + 2 = 77
On transposing 2 to R.H.S, we obtain
3x = 77 − 2
3x = 75
On dividing both sides by 3, we obtain
x = 25
2x + 2 = 2 × 25 + 2 = 52
Hence, the breadth and length of the pool are 25 m and 52 m respectively.
Video Solution for linear equations in one variable (Page: 28 , Q.No.: 2)
NCERT Solution for Class 8 math - linear equations in one variable 28 , Question 2
Page No 28:
Question 3:
The base of an isosceles triangle is cm. The perimeter of the triangle is cm. What is the length of either of the remaining equal sides?
ANSWER:
Let the length of equal sides be x cm.
Perimeter = x cm + x cm + Base = cm
On transposing to R.H.S, we obtain
On dividing both sides by 2, we obtain