SOLUTION: Line n has equation y=−1/2 x+10. Line k has equation y=2x. Find the point of intersection of line n and line k.

Algebra ->  Graphs -> SOLUTION: Line n has equation y=−1/2 x+10. Line k has equation y=2x. Find the point of intersection of line n and line k.      Log On


   



Question 953497: Line n has equation y=−1/2 x+10. Line k has equation y=2x. Find the point of intersection of line n and line k.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
y=(-1/2)x+10
y=2x
(-1/2)x+10=2x Add (1/2)x to each side.
10=2x+(1/2)x
10=2.5(x) Divide each side by 2.5.
4=x ANSWER 1:The equations intersect when x=4.
y=2x Substitute value for x to find y.
y=2(4)
y=8 ANSWER 2: The equations intersect at (4,8).
CHECK: Use other equation
y=(-1/2)x+10
8=(-1/2)4+10
8=-2+10
8=8
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