Question

For the following linear equations, determine which inverse operation allows you to determine the solution of the equation. In your final answer, also include the solution to each equation.

1) n/5 = -0.3
2) -2n = 4 1/3

Answer 1

see explanation

Explanation:

(1)

Given

`(n)/(5)` = - 0.3

Since n is divided by 5 then use the inverse operation, multiplication.

Multiply both sides by 5 to clear the fraction

n = 5 × - 0.3 = - 1.5

(2)

Given

- 2n = 4
`(1)/(3)` ← change to an improper fraction

- 2n =
`(13)/(3)`

Since n is multiplied by - 2 then use the inverse operation, division.

Divide both sides by - 2

n =
`(13)/(-6)` = -
`(13)/(6)`