Prove using a paragraph proof.

Question

Statements:

1.  9 = 4x - 3(x - 2)
2.  9 = 4x - 3x + 6
3.  9 = x + 6
4.  3 = x
5.  x = 3

 

Reasons:

1. Given
2.  
3.  
4.   

 

Proofs : Fill in the reasons (4) for the statements provided

Answer 1

2.  Distributive property on the term   -3(x - 2)

 

3.  Combining like terms on the x variables

 

4.  Isolate x by subtracting 6 on both sides of the equation

Answer 2

9 = 4x - 3(x - 2)    Given
9 = 4x - 3x + 6     After Distribution
9 = x + 6             After combining the variable terms
3 = x                   After subtracting 6 from each side of equation ('addition of -6)  
x = 3                   Reading line above from right to left in order to make variable x the subject of this sentence.