(a) 5m = 60
Putting the given values in L.H.S.,
5x10=50
∵ L.H.S. ¹ R.H.S.
∴ m = 10 is not the solution.
5x12=60
∵L.H.S. = R.H.S.
∴ m = 12 is a solution
5x5=25
∵ L.H.S. ¹ R.H.S.
∴ m = 5 is not the solution.
5x15=75
∵ L.H.S. ¹ R.H.S.
∴ m = 15 is not the solution.
(b) n + 12 = 20
Putting the given values in L.H.S.
12+12=24
∵ L.H.S. ¹ R.H.S
∴ n = 12 is not the solution.
20+12=32
∵ L.H.S. ¹ R.H.S
∴ n = 20 is not the solution.
8+12=20
∵ L.H.S. = R.H.S.
∴ n = 8 is a solution.
0+12=12
∵ L.H.S. ¹ R.H.S
∴ n = 0 is not the solution.
(c) p - 5 = 5
Putting the given values in L.H.S.,
0-5=-5
∵ L.H.S. ¹ R.H.S
∴ p = 0 is not the solution.
5-5=0
∵ L.H.S. ¹ R.H.S
∴ p = 5 is not the solution.
10-5=5
∵ L.H.S. = R.H.S
∴ p = 10 is a solution.
-5-5= -10
∵ L.H.S. ¹ R.H.S
∴ p = -5 is not the solution.
(d) q/2=7
Putting the given values in L.H.S.,
7/2
∵ L.H.S. ¹ R.H.S
∴ q = 7 is not the solution.
10/2=5
∵ L.H.S. ¹ R.H.S
∴ q = 10 is not the solution.
2/2=1
∵ L.H.S. ¹ R.H.S
∴ q = 2 is not the solution.
14/2=7
∵ L.H.S.= R.H.S
∴ q = 14 is a solution.
(e) r-4=0
putting the given values in L.H.S.,
4-4=0
∵ L.H.S.= R.H.S
∴ r=4 is a solution.
8-4=4
∵ L.H.S. ¹ R.H.S
∴ r=8 is not the solution.
-4-4= -4
∵ L.H.S. ¹ R.H.S
∴ r = -4 is not the solution.
0-4= -4
∵ L.H.S. ¹ R.H.S
∴ r = 0 is not the solution.
(f) x + 4 = 2
Putting the given values in L.H.S.,
-2+4=2
∵ L.H.S. = R.H.S
∴ x = -2 is a solution.
2+4=6
∵ L.H.S. ¹ R.H.S
∴ x = 2 is not the solution.
0+4=4
∵ L.H.S. ¹ R.H.S
∴ x = 0 is not the solution.
4+4=8
∵ L.H.S. ¹ R.H.S
∴ x = 4 is not the solution.