3xy-ysquare=2 and 2x -3y=-4

1 answer

3xy-y^2=2
2x-3y=-4

from the second, x=-2+1.5y
putting that into the first
3(-2+1.5y)y-y^2=2
-6y+4.5y^2-y^2=2
3.5y^2-6y-2=0
y^2-21y-7=0 check my work

quadratic equation..
y=(21+-sqrt(21^2+28)/2
y=(21+-21.66)/2

y- 21.33, or y=-.33
then calculate x for each.
CHECK ALL THIS, I did it in my head.
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