how to plot 2 ellipses in one figure using matlabs function plot having been provided with the equations for both?

2022 4 5
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I have been given the task to plot 2 ellipses in one figure using matlabs function plot
The equations are as follows:
(1.) (x+y+2)^2 + (x+3)^2 =5
(2.) 2(x+3)^2 + (y/3)^2 = 4
Any help or pointers on how I could achieve the solution would be greatly appreciated.

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David Hill
David Hill 2022-4-5

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Much easier to use fimplicit().
eq1=@(x,y)(x+y+2).^2 + (x+3).^2-5;
eq2=@(x,y)2*(x+3).^2 + (y/3).^2-4;
fimplicit(eq1,[-6,0,-6,6])
hold on;
fimplicit(eq2,[-6,0,-6,6])

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sr123
sr123 2022-4-7
thank you for answering but i have to know how to do it using plot and only plot
David Hill
David Hill 2022-4-7
编辑：David Hill 2022-4-7
x=linspace(-5.236065,-0.7639321,1000);%solve for x-range first equation
yy=(- 4 - 6*x - x.^2).^(1/2) - x - 2;%first equation solved for y (upper half)
yyy=- x - (- 4 - 6*x - x.^2).^(1/2) - 2;%first equation solved for y (lower half)
plot(x,yy,'b',x,yyy,'b');%plots first ellipse
hold on;
x=linspace(-4.4142135623,-1.58578644,1000);%solve for x-range second equation
yy=-3*2^(1/2)*(- 7 - 6*x - x.^2).^(1/2);%second equation solved for y (upper half)
yyy=3*2^(1/2)*(- 7 - 6*x - x.^2).^(1/2);%second equation solved for y (lower half)
plot(x,yy,'r',x,yyy,'r');%plots second ellipse
sr123
sr123 2022-4-7
I cant thank you enough for answering again. Would you be able to explain the steps that you need to take to get to this answer so I can understand? Once again thank you.
David Hill
David Hill 2022-4-7
See above explanation. Need to determine the ranges for x (square root must not go immaginary). Then solve each equation for y (two pieces, upper and lower parts).

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