Question

Variable Expressions in Denominators Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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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 the left side:

1. Combine like terms:
\[
153x - 13 = 12
\]

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

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

Thus, the value that completes the set of equations is:
\[
x = \frac{25}{153} \quad \text{and} \quad x \neq 0
\]

So the answer should be written as:
\[
x \neq 0 \text{ (to avoid any undefined expressions)}
\]

The final answer to fill in the blank is:
\[
x \neq 0
\]