if (x + y) + (2(x + y) + 3) = 9, what is x + y??A. 3-1B. -3 + 1c. -3-1D 3 + 1 E. 9-31​

Mathematics · Middle School · Thu Feb 04 2021

Answered on

We have,

(x + y) + (2(x + y) + 3) = 9

Multiplying 2 with (x+y), we get

(x + y) + (2x + 2y + 3) = 9

Adding, we get

3x + 3y + 3 = 9

Transposing 3 to other side, we get

3x + 3y = 9 - 3

3x + 3y = 6

Now, dividing both sides by 3, we get 

3x/3 + 3y/3 = 6/3

x + y = 2

So, the sum of (x+y) is 2.

Therefore, option (A) is correct because 3-1 is also equal to 2.