+0

# help

0
58
2

Find the ordered pair $$(x,y)$$ if \begin{align*} x+y&=(5-x)+(5-y),\\ x-y&=(x-1)+(y-1). \end{align*}

Jan 9, 2019

#1
+17332
+2

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)

Jan 9, 2019
#2
+98154
+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

Jan 9, 2019