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.

n/5 = -0.3
-2n = 4 1/3
a) Addition; n = -1.5 and Multiplication; n = -2.166
b) Subtraction; n = -1.5 and Division; n = -2.166
c) Division; n = -1.5 and Multiplication; n = -2.166
d) Addition; n = -1.5 and Subtraction; n = -2.166

Answer 1

The inverse operations used to solve the equations are multiplication for the first equation (n/5 = -0.3) with a solution of n = -1.5 and division for the second equation (-2n = 4 1/3) with a solution of n = -2.166.

Step-by-step explanation:

To solve the equations n/5 = -0.3 and -2n = 4 1/3, we'll need to perform inverse operations.

For the first equation n/5 = -0.3, we apply multiplication as the inverse operation, multiplying both sides by 5 to isolate n:

n = -0.3 × 5

n = -1.5

For the second equation -2n = 4 1/3, we recognize that 4 1/3 is equivalent to 13/3 when expressed as an improper fraction. To solve for n, we apply division as the inverse operation, dividing both sides by -2:

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

n = -(13/3) × (1/2)

n = -13/6

n = -2.166­

Therefore, the inverse operations used are Division; n = -1.5 and Multiplication; n = -2.166.