SOLVE THE EQUATION BY FIRST CLEARING THE DECIMALS

Problem 2 :

7.8y + 6 = 23.16

Solution :

Subtract 6 from both sides

7.8y + 6 - 6 = 23.16 – 6

7.8y = 17.16

Divide both sides by 7.8

7.8y / 7.8= 17.16 / 7.8

y = 2.2

Problem 3 :

10.7w + 4 = 47.87

Solution :

Subtract 4 from both sides

10.7w + 4 - 4 = 47.87 – 4

10.7w = 43.87

Divide both sides by 10.7

10.7w / 10.7 = 43.87 / 10.7

w = 4.1

Problem 4 :

2 = -6.4z + 10

Solution :

By Swap,

-6.4z + 10 = 2

Subtract 10 from both sides

-6.4z + 10 – 10 = 2 – 10

-6.4z = -8

Divide both sides by -6.4

-6.4z / -6.4= -8 / -6.4

z = 1.25

Problem 5 :

-3.3x + 6.5 = 1.55

Solution :

Subtract 6.5 from both sides

-3.3x + 6.5 – 6.5 = 1.55 – 6.5

-3.3x = -4.95

Divide both sides by -3.3

-3.3x / -3.3 = -4.95 / -3.3

x = 1.5

Problem 6 :

1.6b – 3 = -9.4

Solution :

Add 3 to both sides

1.6b – 3 + 3 = -9.4 + 3

1.6b = -6.4

Divide both sides by 1.6

1.6b / 1.6 = -6.4 / 1.6

b = -4

Problem 7 :

-1.7w – 4 = 2.63

Solution :

Add 4 to both sides

-1.7w – 4 + 4 = 2.63 + 4

-1.7w = 6.63

Divide both sides by -1.7

-1.7w / -1.7 = 6.63 / -1.7

w = -3.9

Problem 8 :

2.875y + 9 = 12.45

Solution:

Subtract 9 from both sides

2.875y + 9 - 9 = 12.45 – 9

2.875y = 3.45

Divide both sides by 2.875

2.875y / 2.875 = 3.45 / 2.875

y = 1.2

Problem 9 :

4.125c + 5 = -9.85

Solution :

Subtract 5 from both sides

4.125c + 5 - 5 = -9.85 – 5

4.125c = -14.85

Divide both sides by 4.125

4.125c / 4.125 = -14.85 / 4.125

c = -3.6