Question 612882
Isolate x in the first equation x-y=5 to get


x-y=5


x=<font color="green">5+y</font>


Now plug this into the second equation


x+2y = 7


<font color="green">5+y</font>+2y = 7 ... replace 'x' with <font color="green">5+y</font> (since x=<font color="green">5+y</font>)


*** Notice how this completely gets rid of 'x' in the second equation. This leaves us with y.


Now solve for y


5+y+2y = 7


5+3y = 7


3y = 7-5


3y = 2


y = 2/3


Now that we know that y = 2/3, we can use this to find x.


x = 5+y


x = 5+2/3


x = 15/3+2/3


x = 17/3


So the solutions are <font color="red">x = 17/3</font> and <font color="red">y = 2/3</font>


These solutions can be represented as the ordered pair <font color="red">(17/3, 2/3)</font>