Complete the equation so that it has no solution.(1 point) 5x+12= __ x+9

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Answered by GPT-4o mini
To make the equation \( 5x + 12 = \_\_ x + 9 \) have no solution, we need to set the right side in such a way that it cannot equal the left side for any value of \( x \).

One way to do this is to make both sides equal but create a contradiction. For example, we can place a constant that, when simplified, cannot equal the expression on the left side.

Let's choose the right side as follows:

\[
5x + 12 = 5x + 1
\]

Now let's see if there can be any solution:

1. Subtract \( 5x \) from both sides:

\[
12 = 1
\]

This is a contradiction, as \( 12 \) does not equal \( 1 \).

Thus, the completed equation is:

\[
5x + 12 = 5x + 1
\]

This gives us an equation with no solution.

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