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Complete each proof using the properties of equality Given: –5x+2÷7 =-4; Prove: x = 6 Statements: Reasons:​

User Eujin
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Final answer:

The proof completes by applying the properties of equality to the given equation, solving for x, and showing that indeed x = 6.

Step-by-step explanation:

Let's start with the given equation and solve it step by step to prove that x = 6:

  1. -5x + 2÷ 7 = -4
    Given
  2. Multiply both sides by 7:
    -5x + 2 = -28
    Multiplication property of equality
  3. Subtract 2 from both sides:
    -5x = -30
    Subtraction property of equality
  4. Divide both sides by -5:
    x = 6
    Division property of equality
  5. Check the answer to see if it is reasonable:
    -5(6) + 2÷ 7 = -30 + 2÷ 7 = -4
    Substitution to validate the solution

By following these steps, we complete the proof that x = 6, applying the properties of equality and verifying that the solution is reasonable.

User Sean Burton
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