*I KNow only #6 which is relfexive,I think...You have to find the reasons for this...*
1. 3x - 7 = -4
2. 3x - 7 + 7 = -4 + 7
3. 3x + 0 = -4 + 7
4. 3x + 0 = 3
5. 3x = 3
6. (1/3) 3x = 3 (1/3)
7. (1/3) 3x = 1
8. 1x = 1
9. x = 1
To solve the given equation 3x - 7 = -4, follow the steps below:
Step 1: Move the constant term (-7) to the other side of the equation by adding 7 to both sides:
3x - 7 + 7 = -4 + 7
Step 2: Simplify the equation:
3x + 0 = -4 + 7
Step 3: Combine the constants:
3x = 3
Step 4: Divide both sides of the equation by the coefficient of x (3) to isolate the variable:
(1/3) 3x = 3 (1/3)
Step 5: Simplify the equation:
(1/3) 3x = 1
Step 6: Multiply both sides of the equation by 1 to remove the fraction:
1x = 1
Step 7: Simplify the equation:
x = 1
Therefore, the solution to the given equation is x = 1.
Regarding your mention of "reflexive" for question #6, it seems that you are referring to the property of equality. The reflexive property states that for any value a, a is equal to itself. In this case, the equation (1/3) 3x = 3 (1/3) shows the application of the reflexive property since we multiplied both sides of the equation by (1/3), which simplifies to multiplying by 1.