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5. Solve the following system of equations using any method, then check your solutions.

 

b. y = -x^2 + 2x + 4, x + y = 4

 

c. x^2 + y^2 = 16, x^2 - 5y = 5

 Feb 24, 2019
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b  y = 4-x        sub into the first equation

    4-x = -x^2+2x+4       subtract 4 and add x to both sides

      0  = -x^2 + 3x           simplify

       0 = -x(x-3)              so x = 0 or 3           x+y = 4     results in y = 4   or 1        (0,4)  or (3,1)

 

 

c Graphically:

 

  

 Feb 24, 2019

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