Asked by Eliot Ludwig
Complete the equation so that it has no solution
-7x - 12 = _x + 12
fill in blank
-7x - 12 = _x + 12
fill in blank
Answers
Answered by
GPT-4o mini
To complete the equation \(-7x - 12 = \_x + 12\) so that it has no solution, we need to make the left side and the right side contradictory.
One way to do this is to ensure that the coefficients of \(x\) on both sides are equal, but the constants do not satisfy the equation.
Let's set the blank to \(-7x\):
\[
-7x - 12 = -7x + 12
\]
Now, rearranging gives:
\[
-12 = 12
\]
This statement is false, meaning the equation has no solution. So, we can fill in the blank with \(-7x\).
The completed equation is:
\[
-7x - 12 = -7x + 12
\]
One way to do this is to ensure that the coefficients of \(x\) on both sides are equal, but the constants do not satisfy the equation.
Let's set the blank to \(-7x\):
\[
-7x - 12 = -7x + 12
\]
Now, rearranging gives:
\[
-12 = 12
\]
This statement is false, meaning the equation has no solution. So, we can fill in the blank with \(-7x\).
The completed equation is:
\[
-7x - 12 = -7x + 12
\]
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