Question

3.Justify each step of the solution by stating the name of the property that was used to get to each step.Given: Step 1: 1.________________________________Step 2: 2. _______________________________Step 3: 17x = 403. _______________________________Step 4: 4. _______________________________Answer:

Answer 1

We are given the following equation:

`2(10-13x)+9x=-34x+60`

In the first step we will use the distributive property on the left side:

`20-26x+9x=-34x+60`

In step 2, we will add like terms on the left side using associative properties of addition and subtraction and we will subtract 20 from both sides, we get:

`(20-20)+(-26x+9x)=-34x+(60-20)`

Solving the operations we get:

`-17x=-34x+40`

In step 3 we will add 34x to both sides, this is the inverse additive inverse:

`(-17x+34x)=(-34x+34x)+40`

Solving the operations:

`17x=40`

In step 4, we divide both sides by 17, this is the division property of equality:

`((17x)/(17))=(40)/(17)`

Solving the operations:

`x=(40)/(17)`