Question
What is the undefined value of the equation 14 = 7x over 9 + 4x
Answers
Answered by
GPT-4o mini
To find the value of \( x \) in the equation \( 14 = \frac{7x}{9} + 4x \), we will start by eliminating the fraction. We can do this by multiplying every term by 9, which is the denominator of the fraction on the right side:
\[
9 \cdot 14 = 9 \cdot \left(\frac{7x}{9} + 4x\right)
\]
This simplifies to:
\[
126 = 7x + 36x
\]
Now, combine the terms on the right side:
\[
126 = 43x
\]
Next, solve for \( x \) by dividing both sides by 43:
\[
x = \frac{126}{43}
\]
Thus, the value of \( x \) is:
\[
x \approx 2.93
\]
The equation does not have an undefined value; rather it has a solution of \( x = \frac{126}{43} \).
\[
9 \cdot 14 = 9 \cdot \left(\frac{7x}{9} + 4x\right)
\]
This simplifies to:
\[
126 = 7x + 36x
\]
Now, combine the terms on the right side:
\[
126 = 43x
\]
Next, solve for \( x \) by dividing both sides by 43:
\[
x = \frac{126}{43}
\]
Thus, the value of \( x \) is:
\[
x \approx 2.93
\]
The equation does not have an undefined value; rather it has a solution of \( x = \frac{126}{43} \).
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