Question

(Score for Question 3: of 4 points)

3. Justify each step of the solution by stating the property that was used to get to each step.
Given: 2(10 − 13x) + 9x = −34x + 60
Step 1: 20 − 26x + 9x = −34x + 60
Step 2: −17x = −34x + 40
Step 3: 17x = 40
Step 4:
Answer:

Answer 1

Answer: Step 1:Distributive property

Step 2: Subtraction Property of Equality

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Explanation:

In step 1 we use the Distributive Property to turn
`2(10-13x)` into
`20 -26x` by distributing(multiplying) the 2 among the 10 and -13x

In step 2 we use the Subtraction Property of Equality but first, we have to combine like terms by adding
`-26x + 9x` since they have alike variables to get
`20-17x=-34x+60`. Now we have to move 20 to the right side of this equation by subtracting 20 on both sides. Then you should have this equation
`-17x=-34x+40`

In step 3 we use the Addition Property of Equality to move 34x to the left side of
`-17x=-34x+40`. We do so by adding -34x to both sides of this equation which will give us
`17x=40`

In step 4 we use the Division Property of Equality to get x in
`17x=40` by itself. So we divide 17 on both sides which will give us
`x=(40)/(17)` our final answer.

So your answer will be
`x=(40)/(17)`