Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y2=14 ? (−9, 3) is a solution to the equ Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y2=14 ? (−9, 3) is a solution to the equation. Both ordered pairs are solutions. (2, −4) is a solution to the equation. Neither ordered pair is a solution.ation. Both ordered pairs are solutions. (2, −4) is a solution to the equation. Neither ordered pair is a solution.

Respuesta :

Answer:

The correct statement will be:  "Neither ordered pair is a solution"

Step-by-step explanation:

Given equation is:  [tex]6x-y^2 =14[/tex]

For ordered pair (-9, 3) ,  the values of [tex]x=-9[/tex] and [tex]y=3[/tex]

Plugging these values into the given equation......

[tex]6(-9)-(3)^2=14\\ \\ -54-9=14\\ \\ -63=14(False)[/tex]

Now for ordered pair (2, -4) ,  the values of [tex]x=2[/tex] and [tex]y=-4[/tex]

Plugging these values into the given equation......

[tex]6(2)-(-4)^2=14\\ \\ 12-16=14\\ \\ -4=14(False)[/tex]

That means, neither ordered pair is a solution for the given equation.

Answer:

(2, −4) is a solution to the equation.

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