[tex]x-2y=12[/tex]
Given the ordered pair (2, ?), this means x = 2 and we have to solve for y.
So, if x = 2, let's replace "x" with 2 in the equation above and solve for y.
[tex]2-2y=12[/tex]
Subtract 2 on both sides of the equation. The equation becomes:
[tex]-2y=10[/tex]
Divide both sides of the equation by -2.
[tex]y=-5[/tex]
Therefore, if x = 2, then y = -5. The missing pair of the coordinate is -5.
On the other hand, for the coordinate (?, -9), this means we have to solve for the value of x when y = -9. To do this, replace y with -9 in the equation above.
[tex]x-2\left(-9\right)=12[/tex]
Distribute -2.
[tex]x+18=12[/tex]
Subtract 18 on both sides of the equation.
[tex]x=-6[/tex]
Therefore, when y = -9, the value of x is -6. The missing pair of the coordinate is -6. It is (-6, -9).