How do I find the answer for 2x + 3y + 2 (x - y) – 3 = using The Distributive Property?

Question

 What are all the steps to find the answer, because I have to show my work. 

Answer 1

So you are going to use the distributive property with what is inside the parenthesis.

2x + 3y + 2(x - y) - 3

You are going to distribute the 2 to the x and then 2 to the y.  You need to pay attention to the signs that are out in front of the coefficients, or variables that you are using.

So it's 2*x = 2x and 2*y = 2y.

 

2x + 3y + 2x - 2y - 3

 

Then you can combine like terms

 

2x + 3y + 2x - 2y - 3

 

So combine all of your x's together 2x + 2x = 4x

Then combine all of your y's together 3y - 2y = y

 

So your final answer is

4x + y - 3

Answer 2

2x  + 3y +2x - 2y -3 = 4x +y -3

 

 

 used distributive proprty

Answer 3

distribute

 

2x + 3y + 2(x-y) -3             2*x = 2x       2*-y = -2y

2x + 3y + 2x - 2y -3

 

join like terms

 

2x +2x +3y -2y -3

4x + y -3