Question

What is the order of transformations you would use to solve this equation. 4x - 17 = -45 options: 1. Subtract 17 from both sides 2. Divide both sides by 4 1. Add 17 to both sides 2. Divide both sides by 4 1. Subtract 17 from both sides 2. Multiply both sides by 4 1. Add 17 to both sides 2. Multiply both sides by 4

Answer 1

1. Add 17 to both sides

2. Divide both sides by 4

Explanation:

We have been given the equation
`4x-17=-45`

In order to solve the equation, we apply the below mentioned steps:-

Step 1:

Since, 17 is in subtraction with 4x hence, to get rid of this we add 17 to both sides of the equation.

`4x=-45+17`

`4x=-28`

Step 2:

Now, 4 is in multiplication with x, hence to get rid of 4, we do the reverse operation of multiplication which is division.

Hence, divide both sides by 4

`x=-(28)/(4)\\\\x=-7`

Hence, the correct option should be

1. Add 17 to both sides

2. Divide both sides by 4