Respuesta :

If we want to have solutions for the linear equation, the value of A must be 4,

Which number should go in the box?

Let's define A as the number that should be in the box, now we can write the linear equation in the image as:

A*(5x + 6) = 20x + 24

We want to find the value of A, if we divide both sides by 5x + 6 we will get:

A = (20x + 24)/(5x + 6)

The numerator can be rewritten as:

20x + 24 = 4*(5x + 6), replacing that we will get:

A = 4*(5x + 6)/(5x + 6) = 4

Then we conclude that, if we want to have solutions for the linear equation, the value of A must be 4.

If you want to learn more about linear equations:

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