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 the constants:
\[
153x - 9 - 4 = 153x - 13
\]

2. Set the equation equal to 12:
\[
153x - 13 = 12
\]

3. Add 13 to both sides to isolate the term with \( x \):
\[
153x = 12 + 13
\]
\[
153x = 25
\]

4. Divide both sides by 153 to solve for \( x \):
\[
x = \frac{25}{153}
\]

Thus, the value that completes the set of equations is:
\[
x \neq \frac{25}{153}
\]
which implies \( x \neq \frac{25}{153} \) to avoid any undefined solutions or contradictions in your equations.