Question

Marina is solving the equation below by using the multiplicative inverse, or the reciprocal. 1/5(x-2)=20 By which number should Marina multiply both sides of the equation as the first step in solving it?

Answer 1

Answer: Marina should multiply both sides of the equation by 5.

Step-by-step explanation: Given that Marina solving the following equation below by using the multiplicative inverse, or the reciprocal.

`(1)/(5)(x-2)=20~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We are to find the number by which Marina should multiply both sides of the equation as the first step in solving it.

The first step in solving equation will be making the coefficient of unknown variable x as 1.

The coefficient of x is
`(1)/(5)`.

Let y be the number that should be multiplied to both sides to make co-efficient of x as 1.

So, we have

`(1)/(5)* y=11\\\\\\\Rightarrow y=5.`

Thus, Marina should multiply both sides of the equation by 5.

Answer 2

5

Step-by-step explanation

The given equation is;

`(1)/(5) (x - 2) = 20`

The multiplicative inverse of

`(1)/(5)`

is 5.

Therefore Marina should multiply both sides of the equation by 5.