Question

Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x​

Answer 1

2x + 0 = 13

Explanation:

To add the equations, we add the corresponding terms on both sides of the equal sign.

The given equations:

3x + 2y = 9

-x - 2y = 4

Adding the equations term by term:

(3x + (-x)) + (2y + (-2y)) = 9 + 4

Simplifying the equation:

2x + 0 = 13

The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.

Answer 2

Consider the first blank is the green box.

Given:

The equations are

`3x+2y=9`

`-x-2y=4`

To find:

The value belongs in the green box

Solution:

We have,

`3x+2y=9` ...(i)

`-x-2y=4` ...(ii)

Adding (i) and (ii), we get

`3x+2y-x-2y=9+4`

`(3x-x)+(2y-2y)=13`

`2x+0=13`

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.