Exercises

Solve and plot the following systems of equations that involve non-linear equations

1. 
   

   eq1:=-(x+1)^2-y=1
eq2:=x+2y=-6
eqns:={eq1, eq2}
implicitplot([eq1, eq2], x=-5..0, y=-5..5)
solve({eq1, eq2}, {x,y})

2. 
   

   eq3:=x+2y=6
eq4:=(x+1)^2-y=-1
eqs34:= eq3, eq4
with(plots):
implicitplot([eqs34], x=-10..10, y=-2..10)
sols34:=solve({eq34}, {x,y})
allvalues(sols34)

3. PLOT ONLY
   
   

   eq5:=y^3-x^4=x+7
eq6:=y=x
with(plots):
implicitplot([eq5, eq6], x=-10..10, y=-10..10)