Question

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

Answer 1

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.