Question

Drag a statement or reason to each box to complete this proof. If 3x−4=14, then x=6. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Statement Reason 1. 3x−4=14 Given 2. 3x−4+4=14+4 Response area 3. Response area Simplifying 4. 3x3=183

Answer 1

Here's how you can complete the proof:

Statement 1: 3x - 4 = 14 (Given)

Reason 1: Given

Statement 2: 3x - 4 + 4 = 14 + 4

Reason 2: Adding 4 to both sides of the equation

Statement 3: 3x = 18

Reason 3: Simplifying by adding 4 to both sides

Statement 4: x = 6

Reason 4: Dividing both sides by 3

So, the completed proof is as follows:

3x - 4 = 14 (Given)

3x - 4 + 4 = 14 + 4 (Adding 4 to both sides of the equation)

3x = 18 (Simplifying by adding 4 to both sides)

x = 6 (Dividing both sides by 3)