Find intersections between equations

2018 5 27
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Hello! I'd like to know how to find the intersection between 2 equations, symbolically or with solve(). for example, the intersections between a line and a circle: y=-3x+1 , x^2+y^2=16 Thank you!

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Ameer Hamza
Ameer Hamza 2018-5-27

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For symbolic answer
syms x
y = -3*x + 1;
eq = x^2+y^2==16;
sol = vpasolve(eq)
sol =
3/10 - 159^(1/2)/10
159^(1/2)/10 + 3/10
convert it to double
double(sol)
ans =
-0.9610
1.5610

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