To solve for \( x \) in the equation
\[ 114x + 9 = 31, \]
first, subtract 9 from both sides:
\[ 114x = 31 - 9. \]
This simplifies to:
\[ 114x = 22. \]
Next, divide both sides by 114:
\[ x = \frac{22}{114}. \]
Now, simplify the fraction:
\[ x = \frac{22 \div 22}{114 \div 22} = \frac{1}{\frac{114}{22}} = \frac{1}{5.181818...} \text{ (which still needs further simplification)}. \]
The exact fraction can be simplified by factoring out the greatest common divisor, if needed.
To express this precisely in decimal, one can compute:
\[ 22 \div 114 \approx 0.192. \]
Finally, none of the options provided (22, 110, -8, or 8) are correct. The answer is:
\[ x \approx 0.192 or \frac{1}{5.18} (in decimal). \]
If \( 22 \) was mistyped, the closest rational fraction solution seems to be influenced. Confirm if these were intended options and thus reroute if necessary.
1 answer