<PRE><B>Question 131635</B>
y=x and 4x+5y=9 
----------------
You are looking for a pair of numbers that make both equations true.
----------------
Since y = x, substitute x in place of y in the 2nd equation:
4x + 5x = 9
9x = 9
x = 1
------------
But y = x, so y = 1 also.
---------------------------
The solution for the system is (1,1)
-----------------
If you graph the two equation they will intersect at (1,1).
{{{graph(400,300,-10,10,-10,10,x,(-4/5)x+(9/5))}}}
=================
Cheers,
Stan H.
</PRE>