Question

Complete the equation so that it has no solution.(1 point)
−7x−12=__x+12
put the answer in the blank spot

Answer 1

To complete the equation \(-7x - 12 = \_\_x + 12\) so that it has no solution, we can make the left and right sides parallel, meaning that the coefficients of \(x\) must be the same and the constant terms must be different.

The coefficient of \(x\) on the left side is \(-7\), so we will set the coefficient of \(x\) on the right side to \(-7\) as well.

Now, let’s choose a constant term that differs from the left side.

On the left side, after simplifying, we have:

\[
-7x - 12
\]

Setting the right side's coefficient of \(x\) to \(-7\) gives:

\[
-7x + c
\]

To ensure the equation has no solution, we want the constant term \(c\) to be different from \(-12\).

If we use \(-10\) for example, the equation becomes:

\[
-7x - 12 = -7x - 10
\]

Now it is clear that this equation can't hold true since \(-12\) does not equal \(-10\).

Therefore, the value to put in the blank is **-10**.

So, the complete equation is:

\[
-7x - 12 = -7x - 10
\]

This equation has no solution.