Question

X + y = 2
4y^2 - x^2 = 11

Answer 1

(5, -3), (1/3, 5/3)

Explanation:

You can solve this system of equations using substitution

`x=2-y\\4y^2-(2-y)^2=11\\4y^2-(4-4y+y^2)=11\\4y^2-4+4y-y^2=11\\3y^2+4y-15=0\\(y+3)(3y-5)=0\\y=-3, y=(5)/(3)`

if y= -3

`\\x-3=2\\x=5\\`

if y=5/3

`x+(5)/(3)=2\\ x=(6)/(3) -(5)/(3) \\x=(1)/(3)`