Question

What value will complete the set of equations 153x−9−4=12
and x≠
_____?(

Answer 1

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

\[
153x - 9 - 4 = 153x - 13
\]

Now, we can set the equation equal to 12:

\[
153x - 13 = 12
\]

Next, we add 13 to both sides of the equation:

\[
153x = 12 + 13
\]
\[
153x = 25
\]

Now, we divide both sides by 153 to isolate \( x \):

\[
x = \frac{25}{153}
\]

This is the value of \( x \) that solves the equation.

Regarding the condition \( x \neq \), it usually specifies values that \( x \) cannot take (for instance, values that would make the equation undefined or not valid). Based on the information provided, there’s no restriction on the value of \( x \) in this case, since there are no denominators or square roots to consider. However, if there were such restrictions, one would typically avoid values that lead to undefined expressions.

Thus, the complete statement is:

\[
x = \frac{25}{153} \quad \text{and} \quad x \neq \text{(any other specified condition if given)}
\]

In this case, you would simply regard \( x\) as \( \frac{25}{153} \) without any additional restrictions as nothing was specified.