Question 322493
X+Y=5 OR X=5-Y
4(X^2+Y^2)=82
4[(5-Y)^2+Y^2]=82
4[25-10Y+Y^2+Y^2)=82 
100-40Y+8Y^2=82
8Y^2-40Y+100-82=0
8Y^2-40Y+18=0
(2X-9)(4X-2)=0
2X-9=0
2X=9
X=9/2
X=4.5 ANS.
4X-2=0
4X=2
X=2/4
X=.5 ANS.