SOLUTION: In two or more sentences, explain how to solve the system of equations algebraically. Solve the system of equations x+y=2 y= -1/4 x^2 +3

Question 1025246: In two or more sentences, explain how to solve the system of equations algebraically.
Solve the system of equations
x+y=2
y= -1/4 x^2 +3
Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
.
In two or more sentences, explain how to solve the system of equations algebraically.
Solve the system of equations
x+y=2
y= -1/4 x^2 +3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x + y = 2,             (1)
y = .      (2)

From (1), express x = 2-y and substitute it into (2). You will get a quadratic equation for single unknown y.

Solve it by applying the quadratic formula.

Then return back to (1) and find x.

Figure.

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