Question

Select all the equations that have the same solution as theequation 3x - 12 = 24.

Answer 1

We start by obtaining the value of x in the model question

3x - 12 = 24

3x = 24 + 12

3x = 36

`x\text{ = }(36)/(3)\text{ = 12}`

We consider "Option A"

15x - 60 = 120

15x = 120 + 60

15x = 180

`x\text{ = }(180)/(15)\text{ = 12}`

Thus, Option A has the same solution as our model equation

Next, we consider "Option B"

3x = 12

`x\text{ = }(12)/(3)\text{ = 4}`

Option B does not have the solution as our model equation

Next, we consider "Option C"

`\begin{gathered} 3x\text{ = 36} \\ x\text{ = }(36)/(3)\text{ = 12} \end{gathered}`

This has the same solution as our model equation

Next, we consider "Option D"

x - 4 = 8

x = 8+ 4

x = 12

Option D has the same solution as our model equation

Lastly, we consider "Option E"

12x - 12 = 24

12x = 24 + 12

12x = 36

`x\text{ = }(36)/(12)\text{ = 3}`

Option E does not have the solution as our model equation