https://file.aiquickdraw.com/mathbot/file/1725333238806fyhkfkhs.jpg

The equation in the image is \( ay = 7 - |x| \), and you are given that \( x = 2 \).

Let's solve for \( y \) in terms of \( a \):

1. Substitute \( x = 2 \) into the equation:
   \[
   ay = 7 - |2|
   \]

2. Calculate the absolute value:
   \[
   |2| = 2
   \]
   So the equation becomes:
   \[
   ay = 7 - 2
   \]

3. Simplify the right-hand side:
   \[
   ay = 5
   \]

Now, to find \( y \), divide both sides by \( a \):
\[
y = \frac{5}{a}
\]

So, \( y = \frac{5}{a} \).

Would you like any further explanation or have any questions about this process?

Here are five related questions to consider:

1. What happens to the equation if \( a = 0 \)?
2. How would you solve the equation if \( x = -2 \) instead?
3. What does the graph of the equation \( y = \frac{7 - |x|}{a} \) look like for different values of \( a \)?
4. How does the value of \( a \) affect the solution for \( y \)?
5. What are the key steps to solving equations involving absolute values?

**Tip:** When working with absolute values in equations, remember to consider the different possible values of the variable within the absolute value.

Learn how to solve the equation ay = 7 - |x| for x=2 with a step-by-step solution. This problem covers equations involving absolute values and is suitable for advanced high school students.

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