TOPICS
Exercise - 2.1

Question-1 :-  Solve x – 2 = 7.

Solution :-
  x – 2 = 7
  x = 7 + 2
  x = 9
  Verification : 
  L.H.S = x - 2 = 9 - 2 = 7 = R.H.S 
    

Question-2 :-  Solve y + 3 = 10.

Solution :-
  y + 3 = 10
  y = 10 - 3
  y = 7
  Verification : 
  L.H.S = y + 3 = 7 + 3 = 10 = R.H.S 
    

Question-3 :- Solve 6 = z + 2.

Solution :-
  6 = z + 2
  6 - 2 = z
  4 = z
  z = 4
  Verification : 
  R.H.S = z + 2 = 4 + 2 = 6 = L.H.S 
    

Question-4 :-  Solve 3/7 + x = 17/7.

Solution :-
  3/7 + x = 17/7
  x = 17/7 - 3/7
  x = (17 - 3)/7
  x = 14/7
  x = 2
  Verification : 
  L.H.S = 3/7 + x = 3/7 + 2 = (3 + 14)/7 = 17/7 = R.H.S 
    

Question-5 :-  Solve 6x = 12.

Solution :-
  6x = 12
  x = 12/6
  x = 2
  Verification : 
  L.H.S = 6x = 6 x 2 = 12 = R.H.S 
    

Question-6 :- Solve t/5 = 10.

Solution :-
  t/5 = 10
  t = 10 x 5 
  t = 50
  Verification : 
  L.H.S = t/5 = 50/5 = 10 = R.H.S 
    

Question-7 :-  Solve 2x/3 = 18.

Solution :-
  2x/3 = 18
  2x = 18 x 3
  2x = 54
  x = 54/2
  x = 27
  Verification : 
  L.H.S = 2x/3 = (2 x 27)/3 = 54/3 = 18 = R.H.S 
    

Question-8 :-  Solve 1.6 = y/1.5 .

Solution :-
  1.6 = y/1.5
  1.6 x 1.5 = y
  2.40 = y
  y = 2.40
  Verification : 
  R.H.S = y/1.5 = 2.40/1.5 = 240/150 = 24/15 = 1.6 = L.H.S 
    

Question-9 :- Solve 7x – 9 = 16.

Solution :-
  7x – 9 = 16
  7x = 16 + 9 
  7x = 25
   x = 25/7
  Verification : 
  L.H.S = 7x – 9 = 7 x 25/7 - 9 = 25 - 7 = 16 = R.H.S 
    

Question-10 :-  14y – 8 = 13.

Solution :-
  14y – 8 = 13
  14y = 13 + 8
  14x = 21
  x = 21/14
  x = 3/2
  Verification : 
  L.H.S = 14y – 8 = 14 x 3/2 - 8 = 7 x 3 - 8 = 21 - 8 = 13 =R.H.S 
    

Question-11 :-  Solve 17 + 6p = 9 .

Solution :-
  17 + 6p = 9
  6q = 9 - 17
  6q = -8
   q = -8/6
   q = -4/3
  Verification : 
  L.H.S = 17 + 6p = 17 + 6 x (-4/3) = 17 - 2 x 4 = 17 - 8 = 9 = R.H.S 
    

Question-12 :- Solve x/3 + 1 = 7/15.

Solution :-
  x/3 + 1 = 7/15
  x/3 = 7/15 - 1
  x/3 = (7 - 15)/15
  x/3 = -8/15
   x = (-8 x 3)/15
   x = -8/5
  Verification : 
  L.H.S = x/3 + 1 = -8/(5 x 3) + 1 = -8/15 + 1 = (-8 + 15)/15 = 7/15 = R.H.S 
    
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