What is the intersection of the lines given by 2y=-x+8 and -y=-5x+1? Enter the answer as an ordered pair.
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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 —> 2y = –x + 8 (eq 1)
–y = –5x + 1 multiply both sides by –2 —> 2y = 10x – 2 (eq 2)
–x + 8 = 10x – 2
11x = 10
x = 10/11 <— x-coordinate of intersection point
–y = –5x + 1
–y = (–5)(10/11) + 1
–y = –50/11 + 11/11
–y = –39/11
y = 39/11 <— y-coordinate of intersection point
Intersection point is (10/11 , 39/11)
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