What is the intersection of the lines given by 2y=-x+8 and -y=-5x+1? Enter the answer as an ordered pair.
2y = -x + 8 (1)
-y = -5x + 1 ⇒ y = 5x - 1 (2)
Sub (2) into (1) for y
2 ( 5x - 1) = -x + 8
10x - 2 = - x + 8
10x + x = 2 + 8
11x = 10
x = 10/11
y = 5 ( 10/11) - 1 = 50/11 -- 11/11 = 39/11
Ordered pair = ( 10/11 , 39/11)
