Solve simultaneously, x+y=2 and 4y^2-x^2=11

(1) x + y = 2(2) 4y² - x² = 11
Rearrange (1) to x= 2-y & substitute x=2-y into equation (2)
Simplify the new equation to 3y²+4y-15 = 0, use quadratic formula or simplify to (3y-5)(y+3)=0 and solve to get
y₁= 5/3 y₂ = -3
Substitute the values of y₁ and y₂ into equation one and solve for the 2 values of x
y₁= 5/3 x₁= 1/3 y₂ = -3 x₂ = 5
Substitute answers for x and y back into the original equations to verify they are correct