Hi Danielle;
I think that the { is incorrectly placed. I will proceed anyway. If I am mistaken, please let me know.
{x+y=8
x+y=8
{xy+2
I am also assuming this is xy=2
xy=2
The addition method requires only one variable. So let's isolate one variable in each equation. I randomly choose the y.
x+y=8
y=8x
xy=2
y=2x
y=x2
Do you understand the last revision? I multiplied both sides by 1 to eliminate the negative sign and completely isolate y.
8x=x2
Let's add 2 to both sides...
2+8x=x2+2
10x=x
Let's add x to both sides...
x+10x=x+x
10=2x
Let's divide both sides by 2...
10/2=2x/2
5=x
Let's solve for y...
x+y=8
5+y=8
y=3
xy=2
5y=2
y=3
I hope this helps. Please let me know either way. Did I make correct assumptions?
10/28/2013

Vivian L.