TOPICS

Exercise - 2.1

Linear Equations in One Variable

**Question-1 :-** Solve x – 2 = 7.

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.

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.

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.

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.

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.

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.

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 .

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.

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.

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 .

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.

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