N The mean A of two numbers, x and y, is given by A =
𝑥+𝑦
2
. Solve for y.

To solve for \( y \) from the equation \( A = \frac{x + y}{2} \), follow these steps:

### Given:
\[
A = \frac{x + y}{2}
\]

### Step 1: Multiply both sides by 2 to eliminate the denominator:
\[
2A = x + y
\]

### Step 2: Subtract \( x \) from both sides to isolate \( y \):
\[
2A - x = y
\]

Thus, the solution for \( y \) is:
\[
y = 2A - x
\]

Would you like further clarification on any steps?

### Related Questions:
1. How would you solve for \( x \) in the same equation?
2. What happens to \( y \) if \( A = 0 \)?
3. Can you apply this formula to find \( y \) when specific values for \( A \) and \( x \) are given?
4. How does the equation change if \( A \) is expressed as \( \frac{1}{3}(x + y + z) \)?
5. How does solving for \( y \) differ if \( A \) represented a weighted mean?

### Tip:
Always ensure both sides of an equation are manipulated equally when solving for a variable.

The mean A of two numbers, x and y, is given by A = (x + y) / 2. Solve for y.

Learn how to solve for y in the equation A = (x + y) / 2, which represents the mean of two numbers. This step-by-step guide breaks down the algebraic solution and is suitable for students in Grades 6-8.

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