# Solving equations using properties?

0 votes
Solve (k/0.2) - 3 = 7
(M/3) + 5.9 =6
(n/10) + 3 = 5.4
asked Dec 27, 2012

## 4 Answers

0 votes

a)    (k/0.2) - 3 = 7

Add 3 to each side

(k/0.2) - 3 + 3 = 7 + 3

Apply additive inverse property a+(-a)=0

(k/0.2) = 10

Multiply each side by 0.2

(0.2)(k/0.2) = 0.2 * 10

Cancel common terms

k = 2

b)    (M/3) + 5.9 =6

Subtract  5.9  from each side

(M/3) + 5.9 - 5.9 = 6 - 5.9

Apply additive inverse property a+(-a)=0

(M/3) = 0.1

Multiply each side by 3

(3)(M/3)=(3) (0.1)

Cancel common terms

M = 0.3

c)  (n/10) + 3 = 5.4

Subtract  3  from each side

( n/10) + 3 - 3 = 5.4 - 3

Apply additive inverse property a+(-a)=0

(n/10) = 2.4

Multiply each side by 10

(10)(n/10)= 10 * 2.4

Cancel common terms

n = 24

The values of k,m and n are 2, 0.3 and 24 respectively

answered Dec 27, 2012
0 votes

1) The equation is .

Apply Addition Property of Equality: .

Add 3 to each side.

Apply Additive Inverse Property: .

Apply Additive Identity Property: .

Add 7 and 3.

Apply Multiplication Property of Equality: .

Cancel common terms.

Multiply 10 and 0.2.

is the solution.

answered Jun 13, 2014
edited Jun 13, 2014 by joly
0 votes

2) The equation is .

Apply Subtraction Property of Equality: .

Subtract 5.9 from each side.

Apply Additive Inverse Property: .

Apply Additive Identity Property: .

Subtract 5.9 from 6.

Apply Multiplication Property of Equality: .

Cancel common terms.

Multiply 0.1 and 3.

is the solution.

answered Jun 13, 2014
edited Jun 13, 2014 by joly
0 votes

3) The equation is .

Apply Subtraction Property of Equality: .

Subtract 3 from each side.

Apply Additive Inverse Property: .

Apply Additive Identity Property: .

Subtract 3 from 5.4.

Apply Multiplication Property of Equality: .

Cancel common terms.

Multiply 2.4 and 10.

is the solution.

answered Jun 13, 2014
edited Jun 13, 2014 by joly