Question

What value will complete the set of equations 153x−9−4=12 and x≠ _____?(1 point) The value that completes the set of equations is x≠

Answer 1

To solve the equation \( 153x - 9 - 4 = 12 \), we first simplify it:

1. Combine the constants on the left side:
\[
153x - 13 = 12
\]

2. Next, isolate \( 153x \) by adding 13 to both sides:
\[
153x = 12 + 13
\]
\[
153x = 25
\]

3. Now, divide both sides by 153 to solve for \( x \):
\[
x = \frac{25}{153}
\]

Now we check for the restriction \( x \neq \) something. In this case, since denominator 153 is not equal to zero, there is no value that would make the equation undefined.

Thus, the only restriction we have based on the equation is related to \( x \) being equal to zero (not really applicable here), but if we were discussing this value \( \frac{25}{153} \), it is a valid output.

Therefore, the answer is:
\( x \neq 0 \).

So to summarize:
The value that completes the set of equations is \( x \neq 0 \).