Respuesta :

MrGumby

A number of different things could go in place of the box to make it no solution. One example would be 3x - 1.


You can tell this by looking at the equation and distributing the 3 and simplifying.


3(x + 1) + 9

3x + 3 + 9

3x + 12


Now, to write something that gives us no solution on the other side, we keep the same value for the coefficient of x, but a different number for the constant. If we use the example from above, you'll get an improper answer.


3x + 12 = 3x - 1 ----> subtract 3x from both sides

12 = -1 (Since this is an untrue statement, we know that this has no solution).

abidemiokin

The expression that can be written in the box on the other side of the equation is 3x + 12

Given the expression 3(x+1)+9=∆, if this expression has no solution, the equation on both sides must be equal.

To get the required expression, all we need is to simplify the given expression on the left-hand side as shown:

3(x+1)+9

= 3x  + 3 + 9

= 3x  + 12

Hence the expression that can be written in the box on the other side of the equation is 3x + 12

Learn more on equations here: https://brainly.com/question/17145398

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