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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 :

Consider the first blank is the green box.

Given:

The equations are

[tex]3x+2y=9[/tex]

[tex]-x-2y=4[/tex]

To find:

The value belongs in the green box

Solution:

We have,

[tex]3x+2y=9[/tex]        ...(i)

[tex]-x-2y=4[/tex]        ...(ii)

Adding (i) and (ii), we get

[tex]3x+2y-x-2y=9+4[/tex]

[tex](3x-x)+(2y-2y)=13[/tex]

[tex]2x+0=13[/tex]

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.

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