Question

MEAN the mean A of two numbers, x and y, is given by A=x+y/2, solve for Y

Answer 1

- According to the Subtraction property of equalily, if:

`a=b`

Then:

`a-c=b-c`

- The Multiplication property of equality states that, if:

`a=b`

Then:

`a\cdot c=b\cdot c`

For this case, you have the following equation:

`A=(x+y)/(2)`

So, in order to solve for "y", you can follow these steps:

1. Apply the Multiplication property of equality by multiplying both sides of the equation by 2:

`\begin{gathered} A(2)=((x+y)/(2))(2) \\ \\ 2A=x+y \end{gathered}`

2. Apply the Subtraction property of equality by subtracting "x" from both sides of the equation:

`\begin{gathered} 2A-(x)=x+y-(x) \\ 2A-x=y \end{gathered}`

Then, the answer is:

`y=2A-x`