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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 in PRE-ALGEBRA by mathgirl Apprentice

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 by Johncena Apprentice
0 votes

1) The equation is image.

Apply Addition Property of Equality: image.

Add 3 to each side.

image

Apply Additive Inverse Property: image.

image

Apply Additive Identity Property: image.

image

Add 7 and 3.

image

Apply Multiplication Property of Equality: image.

image

Cancel common terms.

image

image

Multiply 10 and 0.2.

image is the solution.

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

2) The equation is image.

Apply Subtraction Property of Equality: image.

Subtract 5.9 from each side.

image

Apply Additive Inverse Property: image.

image

Apply Additive Identity Property: image.

image

Subtract 5.9 from 6.

image

Apply Multiplication Property of Equality: image.

image

Cancel common terms.

image

Multiply 0.1 and 3.

image is the solution.

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

3) The equation is image.

Apply Subtraction Property of Equality: image.

Subtract 3 from each side.

image

Apply Additive Inverse Property: image.

image

Apply Additive Identity Property: image.

image

Subtract 3 from 5.4.

image

Apply Multiplication Property of Equality: image.

image

Cancel common terms.

image

Multiply 2.4 and 10.

image is the solution.

 

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

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