1.

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)

Answer»

(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.


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