+107 What is the intersection of the lines given by 2y=-x+3 and -y=5x+1? Enter the answer as an ordered pair.
+66
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
