Question

4=5(p-2) with steps answer

Answer 1

Answer: p = 14/5

Explanation:

In order to solve for p, isolate it.

Given equation:

`\bullet\quad\sf{5(p-2)=4}`

Use the distributive property:

`\bullet\quad\sf{5p-10=4}`

Add 10 to both sides:

`\bullet\quad\sf{5p=14}`

Divide both sides by 5:

`\bullet\quad\sf{p=\cfrac{14}{5}}`

Answer 2

`p=(14)/(5)`

Explanation:

Given the equation:

`4=5(p-2)`

we can solve for the variable p with the following steps:

↓ applying the distributive property to the right side ...
`a(b+c) = (a\cdot b) + (a\cdot c)`

`4=(5\cdot p) - (5\cdot 2)`

`4 = 5p - 10`

↓ adding 10 to both sides

`4 + 10 = 5p`

`14=5p`

↓ dividing both sides by 5

`(14)/(5) = p`

`\huge\boxed{p=(14)/(5)}`

Note

We can also represent this improper fraction as a mixed number or a decimal:

`p = (14)/(5) = 2\,(4)/(5) = 2.8`