- According to the Subtraction property of equalily, if:
[tex]a=b[/tex]
Then:
[tex]a-c=b-c[/tex]
- The Multiplication property of equality states that, if:
[tex]a=b[/tex]
Then:
[tex]a\cdot c=b\cdot c[/tex]
For this case, you have the following equation:
[tex]A=\frac{x+y}{2}[/tex]
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:
[tex]\begin{gathered} A(2)=(\frac{x+y}{2})(2) \\ \\ 2A=x+y \end{gathered}[/tex]
2. Apply the Subtraction property of equality by subtracting "x" from both sides of the equation:
[tex]\begin{gathered} 2A-(x)=x+y-(x) \\ 2A-x=y \end{gathered}[/tex]
Then, the answer is:
[tex]y=2A-x[/tex]
