Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
(a) 5m = 60 (10, 5, 12, 15)
(b) n + 12 = 20 (12, 8, 20, 0)
(c) p - 5 = 5 (0, 10, 5, –5)
(d) q/2 = 7 (7, 2, 10, 14)
(e) r - 4 = 0 (4, –4, 8, 0)
(f) x + 4 = 2 (–2, 0, 2, 4)
1 Answers
(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.