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: Find the ordered pair solutions for the system of equations. please help

: Find the ordered pair solutions for the system of equations. please help-example-1

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Answer:

(-1, 2) and (4, -8)

Explanation:

You want the ordered pairs (x, f(x)) that satisfy both equations ...

  • f(x) = x² -5x -4
  • f(x) = -2x

Solution

Equating the two expressions for f(x), we have ...

x² -5x -4 = -2x

x² -3x -4 = 0

(x -4)(x +1) = 0

x = 4 or -1

Corresponding values of f(x) are ...

f(x) = -2{4, -1} = {-8, 2}

Ordered pair solutions are ...

(x, f(x)) = (-1, 2) and (4, -8)

: Find the ordered pair solutions for the system of equations. please help-example-1
User Brian Leathem
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