Final answer:
The equation 3 + x = 27 is solved using the Subtraction Property of Equality, resulting in x = 24. The equation x/6 = 5 is solved using the Multiplication Property of Equality, giving x = 30. After solving, check to confirm the solutions satisfy the original equations.
Step-by-step explanation:
To solve the equation 3 + x = 27, we need to use the Subtraction Property of Equality which states that if we subtract the same amount from both sides of an equation, it remains balanced. In this case, we subtract 3 from both sides to isolate x:
x = 27 - 3
x = 24
This gives us the value of x as 24.
For the second equation, x/6 = 5, we need to use the Multiplication Property of Equality to eliminate the fraction. Multiply both sides of the equation by 6:
6 (x/6) = 5 × 6
x = 30
Therefore, x equals 30 in the second equation.
After finding the values of x in both equations, check if these answers are reasonable by ensuring that they satisfy the original equations when substituted back into them.