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3 years ago

What is the justification for each step in the solution of the equation?

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Here are the following justifications:

Given: -2 (x-1) +12=4x-6

Distribute property = -2x+2+12=4x-6

Combine like terms= -2x+14=4x-6

Transpose = -2x = 4x – 20

Addition or Subtraction Property of Equality = -6x = -20

Division property of equality = x = 20/6

Simplify = x = 10/3

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the perimeter of a pool is 250 feet. the length is 25 feet less than twice its width. find th width in feet.

Nastasia [14]

L = 2W - 25

Perimeter = 2L + 2W

250 = 2W + 2(2W - 25)

6W - 50 = 250

W = 300/6

W = 50 feet answer

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3 years ago

A father's age is thrice the sum of the ages of his two children. After five years, his age will be

jenyasd209 [6]

Answer: 45 years old

Step-by-step explanation:

<u>Given:</u>

- Father's age is thrice the sum of ages of his two children

- After five years, his age will be twice the sum of their ages

Let x be the two children's current age and 3x be the father's current age

<u>Solve:</u>

Set equation

3x + 5 = 2 ( x + 10 )

Expand parenthesis

3x + 5 = 2x + 20

Subtract 5 on both sides

3x + 5 - 5 = 2x + 20 - 5

3x = 2x + 15

Subtract 2x on both sides

3x - 2x = 15

x = 15

15 × 3 = 45 years old

Hope this helps!! :)

Please let me know if you have any questions

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