Question

What is the reason for each step in the solution of the equation?

3x−2=4

Drag and drop the reasons into the boxes to correctly complete the table.

3x−2=43x−2=4 __________________

3x=63x=6 ______________________

x=2x=2 ________________________

Division Property of Equality, Distributive Property, Addition Property of Equality, Combine Like Terms, Given

Answer 1

Answer:

Given; Addition Property of Equality; Division Property of Equality

Step-by-step explanation:

The first blank restates the equation we are given.  This is why the justification for it is "Given."

To get the second blank from the first one, we must add two to each side.  The property that allows this is the addition property of equality.

To get the third blank from the second one, we must divide both sides by 3.  The property that allows this is the division property of equality.

Answer 2

The justification for the steps taken in solving the equation in the problem are :

• 3x - 2 = 4 ____ Given

• 3x = 6 _______ Addition property of equality

• x = 2 ________ Division property of equality

The first step restates the problem to be solved which has been stated in the question, hence, the reason is 'GIVEN'. It is usually the first reason in the steps required to proof an equation or expression.

The second step uses the addition property of equality by adding a common value to both sides of the equation in other to isolate a preffered value.

The third step uses the divison property of equality by dividing both sides by the same value in other to isolate, x.

Hence, the required answer.

Learn more : https://brainly.com/question/24476892?referrer=searchResults