A. x = (y + 12) / 7
B. x = (y / 12) - 7
C. x = (y - 12) / 7
D. x = (y / 7) + 12
3 answers
To manipulate the equation \( y = 7x - 12 \) so that it is written in terms of \( x \), we need to isolate \( x \).
Starting with the original equation:
Add 12 to both sides: \[ y + 12 = 7x \]
Now, divide both sides by 7: \[ x = \frac{y + 12}{7} \]
Thus, the equation in terms of \( x \) is: \[ x = \frac{y + 12}{7} \]
The equivalent option from the given choices is: A. \( x = \frac{y + 12}{7} \).
I apologize for the confusion in my previous response. Let's carefully rework the equation \( y = 7x - 12 \) to solve for \( x \).
Starting with the equation:
Add 12 to both sides: \[ y + 12 = 7x \]
Now, divide both sides by 7: \[ x = \frac{y + 12}{7} \]
This means that the correct equivalent expression for \( y = 7x - 12 \) in terms of \( x \) is: A. \( x = \frac{y + 12}{7} \).
So yes, the answer given is indeed correct. Thank you for your patience!
