Select the action you would use to solve x-3=12. then select the property that justifies the action

The right options are A and D.

Explanation:

1. Option A.

The action is: Add 3 to both sides. This means that we need to do the following operation:

x - 3 = 12

∴ x - 3 + 3 = 12 + 3

∴ x = 15

So, the solution of this problem is x = 15.

2. Option D.

The property is: Addition property of equality. This is the property we are chosen because we need to isolate the variable x. To do that, we need to add a number of each side of the equation to find our goal and this property allows us to get our goal.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction