Q. 44.4( 76 Votes )
Solve the following equations:
(a) 10p = 100
(b) 10p + 10 = 100
(c) 
(d) 
(e) 
(f) 3s = –9
(g) 3s + 12 = 0
(h) 3s = 0
(i) 2q = 6
(j) 2q – 6 = 0
(k) 2q + 6 = 0
(l) 2q + 6 = 12
Answer :
The parts of this question are solved below:
(a) Here,
We have to find the value of p
Thus,
10p = 100
Now,
Dividing both sides by 10, we get:
=
Therefore,
p = 10
(b) Here,
We have to find the value of p
Thus,
10p + 10 = 100
10p = 100 – 10
10p = 90
Now,
Dividing both sides by 10, we get:
=
Therefore,
p = 9
(c) Here,
We have to find the value of p
Thus,
= 54
Now,
Multiplying both sides by 4, we get:
= 5 × 4
Therefore,
p = 20
(d) Here,
We have to find the value of p
Thus,
= 5
Now,
Multiplying both sides by -3, we get:
= 5 × -3
Therefore,
p = - 15
(e) Here,
We have to find the value of p
Thus,
= 6
Now,
Multiplying both sides by 4, we get:
= 6 × 4
=
Therefore,
p = 8
(f) Here,
We have to find the value of s
Thus,
3s = -9
Now,
Dividing both sides by 3, we get:
=
Therefore,
s = -3
(g) Here,
We have to find the value of s
Thus,
3s + 12 = 0
= 3s + 12 – 12 = 0 – 12
3s = -12
Now,
Dividing both sides by 3, we get:
=
Therefore,
s = -4
(h) Here,
We have to find the value of s
Thus,
3s = 0
Now,
Dividing both sides by 3, we get:
=
Therefore,
s = 0
(i) Here,
We have to find the value of q
Thus,
2q = 6
Now,
Dividing both sides by 2, we get:
=
Therefore,
q = 3
(j) Here,
We have to find the value of q
Thus,
2q – 6 + 6 = 0 + 6
2q = 6
Now,
Dividing both sides by 2, we get:
=
Therefore,
q = 3
(k) Here,
We have to find the value of q
Thus,
2q + 6 - 6 = 0 - 6
2q = - 6
Now,
Dividing both sides by 2, we get:
=
Therefore,
q = - 3
(l) Here,
We have to find the value of q
Thus,
2q + 6 - 6 = 12 - 6
2q = 6
Now,
Dividing both sides by 2, we get:
=
Therefore,
q = 3
Rate this question :
Give the steps you will use to separate the variable and then solve the equation:
(a) 3n – 2 = 46
(b) 5m + 7 = 17
(c)
(d)
x exceeds 3 by 7, can be represented as
NCERT - Exemplar MathematicsIf k + 7 = 16, then the value of 8k – 72 is
NCERT - Exemplar MathematicsIf = 3, then the value of 3x + 2 is
The equation having 5 as a solution is:
NCERT - Exemplar MathematicsIf 43m = 0.086, then the value of m is
NCERT - Exemplar MathematicsIf 7x + 4 = 25, then x is equal to
NCERT - Exemplar MathematicsShifting one term from one side of an equation to another side with a change of sign is known as
NCERT - Exemplar MathematicsWhich of the following equations can be formed starting with x = 0?
NCERT - Exemplar Mathematics