﻿
﻿
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
```
CLASSES