Question

Given: 2x−43=2

Prove: x = 5

Select from the drop-down menus to correctly complete the proof.

Statement Reason
2x−43=2 Given
2x−4=6
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2x = 10
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x = 5

Answer 1

To solve the equation 2x - 43 = 2 and prove that x = 5, we will follow these steps: Add 43 to both sides of the equation, simplify, divide by 2, simplify further. Therefore, the solution to the equation is x = 22.5, not x = 5.

Step-by-step explanation:

To solve the equation 2x - 43 = 2 and prove that x = 5, we will follow these steps:

1. Add 43 to both sides of the equation: 2x - 43 + 43 = 2 + 43
2. Simplify: 2x = 45
3. Divide both sides of the equation by 2: 2x / 2 = 45 / 2
4. Simplify: x = 22.5

Therefore, the solution to the equation 2x - 43 = 2 is x = 22.5, not x = 5. The given statement is incorrect.