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 find the value of \( x \) that completes the set of equations \( 153x - 9 - 4 = 12 \), we need to solve for \( x \).

1. Simplify the equation:
\[
153x - 9 - 4 = 12
\]
Combine like terms:
\[
153x - 13 = 12
\]

2. Add 13 to both sides of the equation:
\[
153x = 12 + 13
\]
\[
153x = 25
\]

3. Divide both sides by 153:
\[
x = \frac{25}{153}
\]

Lastly, we note that \( x \neq 0 \) (it can't be zero because dividing by zero is undefined), but since the calculated value \( \frac{25}{153} \) is not zero, it satisfies the condition \( x \neq 0 \).

Thus, the value that completes the set of equations is:
\[
\frac{25}{153}
\]

In conclusion, the answer you are looking for is:
\[
x = \frac{25}{153}
\] with \( x \neq 0 \).