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Step-by-step explanation:

B. Is the answer of your question

  best answer:     x + y = 2 
y = -1/4 x² + 3 
we will solve this using substitution method. 
first of all, let us find the value of x in the first equation. 
x + y = 2 
move y to the other side. 
x = 2 - y 
substitute that value of x in the quadratic equation. 
y = -1/4 x² + 3 
y = -1/4(2 - y)² + 3 
expand. 
y = -1/4(4 - 4y + y²) + 3 
distribute the -1/4 to each of the terms in the brackets. 
y = -1 + y - 1/4 y² + 3 
move everything to the left hand side. 
1/4 y² - 2 = 0 
take out 1/4 as a common factor. 
1/4(y² - 8) = 0 
solve the quadratic equation. 
1/4(y² = 8) 
square root both sides. 
1/4(y = ± √8) 
we found the values of y. now we need to find the values of x using one of the original equations. we know that x = 2 - y. all you need to do now is to substitute the values of y into the equation. 
x = 2 - √8 or x = 2 - -√8 
x = 2 - √8 or x = 2 + √8 
final answer:  
(x1, y1) = (2 - √8, √8) 
(x2, y2) = (2 + √8, -√8) 

hope this ! : )