How can I use the solve command in Matlab to find the intersection of two equations?

eqn1 = x^2 + y^2 ==9;

eqn2 = 2*x + 3*y == 4;

S = solve(eqn2==eqn1)

Answer 1

[DGM]

Something like this:

% solve system of equations
syms x y
eqn1 = x^2 + y^2 == 9;
eqn2 = 2*x + 3*y == 4;

S = solve([eqn2 eqn1],[x y]);
sx = double(S.x)

sx = 2×1

2.9346 -1.7038

sy = double(S.y)

sy = 2×1

-0.6231 2.4692

% just plot things numerically and see if the solutions make sense
N = 50;
x = linspace(-4,4,N);
y = x.';

surf(x,y,sqrt(x.^2+y.^2),'facealpha',0.8); hold on % a circle
surf(x,y,3*ones(N,N),'facealpha',0.8) % with radius 3
plot3(x,(4-2*x)/3,3*ones(1,N)) % intersects with a diagonal line
plot3(sx,sy,[3 3],'o','linewidth',2) % mark calculated solution points

colormap(parula)
shading flat

[Cian Thornberry]

Thanks