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What is the intersection of the lines given by 2y=-x+3 and -y=5x+1? Enter the answer as an ordered pair.

 Jun 30, 2020
 #1
avatar+62 
+5

 

So we see that -y=5x+1, so we can divide by -1 on both sides to get y=-5x-1. Then you can plug y in the first equation to get

2(-5x-1)=-x+3 then keep on simplifying the eqution to get -10x-2=-x+3. So -9x=5, x=-5/9. Next, plug x into the second equation to get

y=-5(-5/9)-1

 =25/9-1

= 25/9-9/9

=16/9

So putting that into an ordered pair gives us (-5/9,16/9)! Hope this was clear enough! LMK

 Jun 30, 2020
edited by chickenwing  Jul 2, 2020
 #2
avatar+107 
-2

thank you! smiley

 Jun 30, 2020

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