What are the solutions of the system of equations for x + y = 2 and y = -1/4 x^2 + 3

Use substitution

from first equation: y = 2 - x

Substitute  in the 2nd equation:-

2 - x = -1/4x^2 + 3

-1/4 x^2 + x + 1 = 0

solving this gives x = -0.83, 4.83

Giving  y = 2 - -0.83 = 2.83 ,  2 - 4.83 = -2.83

Answer (-0.83, 2.83) and (4.83, -2.83)

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

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