Question

Select the equations that are equivalent to the equation y – 2 = 3(x + 6). Select all that apply.

y = 3x + 20
y = 3x + 6
2x - y = -3
3x - y = -20

Answer 1

The correct answer for the exercise shown above is the first option and the las option, which are:

 y = 3x + 20
 3x - y = -20

 The explanation is shown below:

 1. You have the folllowing expression given in the problem above:

 y-2=3(x+6)

 2. If you solve it for y, you have:

 y-2=3x+18
 y=3x+18+2
 y=3x+20

 3. And if you move the variables to the left member, you have:

 3x-y=-20

 Therefore, as you can see, the correct answer are the options mentioned above.