To find the undefined value for the equation \( 14 = \frac{7x}{9} + 4x \), we first need to simplify the equation and isolate \( x \).
-
First, notice that \( 4x \) can be expressed as \( \frac{36x}{9} \): \[ 14 = \frac{7x}{9} + \frac{36x}{9} \]
-
Combine the fractions: \[ 14 = \frac{7x + 36x}{9} = \frac{43x}{9} \]
-
Next, we can eliminate the fraction by multiplying both sides by 9: \[ 14 \cdot 9 = 43x \] \[ 126 = 43x \]
-
Now, solve for \( x \): \[ x = \frac{126}{43} \]
Since we did not encounter any operations that would make the equation undefined (like division by zero), there isn't an explicit value of \( x \) that would make the original equation undefined.
From the given options, none of them represent an undefined value for \( x \) in the context of this equation, as there are no restrictions on \( x \).
Thus, the answer that aligns with what we're looking for is technically not represented, but we deduce that \( x \) can take most values except for none of them explicitly represent a point where the equation is undefined.
If you need a consideration of any specific types of undefined values from a different context of the equation, please provide more context.
1 answer