Algebra

Create a system of equations that includes one linear equation and one quadratic equation.
Part 1. Show all work to solving your system of equations algebraically.
Part 2. Graph your system of equations, and show the solution graphically to verify your solution.

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  1. y = x^2 + 3x + 5
    y = x + 13

    solution:
    x^2 + 3x + 5 = x + 13
    x^2 + 2x -8 = 0
    (x+4)(x-2) = 0
    x = -4 or x = 2

    if x = -4, y = 9
    if x = 2 , y = 15

    http://www.wolframalpha.com/input/?i=plot+y+%3D+x%5E2+%2B+3x+%2B+5,+y+%3D+x+%2B+13

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  2. is that the answer?

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  3. ummmhhh, yes

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  4. is it right ?

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