Find the ordered pair (x,y) if x+y=(5−x)+(5−y),x−y=(x−1)+(y−1).
Simplify the first eq:
x+y = 5-x+5-y
2x +2y =10
Simplify the second eq:
x-y=x-1+y-1
-2y = -2
y =1 Sub this into the first equation 2x+2(1)=10 2x+2=10 x = 4 ordered pair = (4,1)
Thanks, EP....Here's another way
Just add the equations and we get that
2x = 4 + 4
2x = 8
x = 4
Sub this back into the first equation to find y
4 + y = ( 5 - 4) + ( 5 - y)
4 + y = 6 - y
2y = 2
y = 1