How do I solve this simultaneous equation below

The question is solve this simulataneous eqaution and verify the soultion by plotting the functions in the domain -5 is less then or equal to x or is less then or equal to 5.

simulataneous equation is

x^2 +1 = y

7 - x = y

Just want to be pointed in the rigth direction because I have no idea how to do this.

[Torsten]

Do you know how to determine the intersection point(s) of the two functions

f(x) = x^2+1

g(x) = -x+7

using pencil and paper ?

[Adam]

yes i do

[Torsten]

And what's the problem then in MATLAB ?

syms x
f1 = x^2+1;
f2 = -x+7;
sol = solve(f1==f2)

sol = 

hold on
fplot(f1,[-5 5])
fplot(f2,[-5,5])
hold off

Answer 1

[Sam Chak]

Hi @Adam

Verify with MATLAB:

x = roots([1 1 -6])

x = 2×1

-3 2

Can I leave you to find y as a simple exercise?