Question

Consider the following equation.x – 2y = 12Step 1 of 2: Determine the missing coordinate in the ordered pair (2, ?) so that it will satisfy the givenequation.Step 2 of 2. Determine the missing coordinate in the ordered pair (?, -9) so that it will satisfy the givenequation.

Answer 1

`x-2y=12`

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.

`2-2y=12`

Subtract 2 on both sides of the equation. The equation becomes:

`-2y=10`

Divide both sides of the equation by -2.

`y=-5`

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.

`x-2\left(-9\right)=12`

Distribute -2.

`x+18=12`

Subtract 18 on both sides of the equation.

`x=-6`

Therefore, when y = -9, the value of x is -6. The missing pair of the coordinate is -6. It is (-6, -9).