Final answer:
To solve the equation 3.5x - 13.2 = 14.8, we need to use the properties of equality (addition and multiplication). After applying these properties, the solution to the equation is x = 8.
Step-by-step explanation:
To solve the equation 3.5x - 13.2 = 14.8, we need to use the properties of equality. The two properties we will use are the addition and multiplication properties of equality.
Addition property: We can add the same quantity to both sides of an equation without changing the solution. In this case, we want to isolate the variable x, so we will add 13.2 to both sides of the equation.
Multiplication property: We can multiply both sides of an equation by the same non-zero quantity without changing the solution. In this case, after adding 13.2 to both sides, we want to solve for x, so we will divide both sides of the equation by 3.5.
The step-by-step solution is as follows:
- Add 13.2 to both sides: 3.5x = 14.8 + 13.2 = 28
- Divide both sides by 3.5: x = 28/3.5 = 8
Therefore, the solution to the equation 3.5x - 13.2 = 14.8 is x = 8.