Question

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.

Answer 1

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

Answer 2

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

Explanation:

Given equation is:
`6x-y^2 =14`

For ordered pair (-9, 3) , the values of
`x=-9` and
`y=3`

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

`6(-9)-(3)^2=14\\ \\ -54-9=14\\ \\ -63=14(False)`

Now for ordered pair (2, -4) , the values of
`x=2` and
`y=-4`

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

`6(2)-(-4)^2=14\\ \\ 12-16=14\\ \\ -4=14(False)`

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