Question 765635
you got the equations right.
all you had to do was solve them simultaneously.
your equations are:
x^2 + y^2 = 4 (e1)
x^2 - y^2 = 1 (e2)
add e1 to e2 to get:
2x^2 = 5
divide both sides of this equation by 2 to get:
x^2 = 5/2
substitute for x^2 in the first equation to get:
x^2 + y^2 = 4 becomes:
5/2 + y^2 = 4
solve for y^2 to get:
y^2 = 3/2
those are your answers.
x^2 = 5/2 and y^2 = 3/2
if you take the square root of 5/2, you will get 1.58113883
if you take the square root of 3/2, you will get 1.224744871
those are your solutions for x and y
x = 1.58113883
y = 1.224744871
you can then confirm by substituting for x and y in the original equations and those equations should hold true.
i checked them out and they do.