Question

Explain how you would use the properties of equality and inverse operations to solve the equation 1.3 + 0.5x = -3.41.​

Answer 1

To solve the equation 1.3 + 0.5x = -3.41, subtract 1.3 from each side, divide by 0.5, and simplify to find that x is equal to -9.42.

Step-by-step explanation:

To solve the equation 1.3 + 0.5x = -3.41 using properties of equality and inverse operations, you would follow these steps:

1. Subtract 1.3 from both sides of the equation to get 0.5x = -3.41 - 1.3.
2. Combine like terms on the right side which results in 0.5x = -4.71.
3. Divide both sides by 0.5 to isolate the variable x, giving you x = -4.71 / 0.5.
4. Simplify the division to find the value of x, resulting in x = -9.42.

By applying inverse operations systematically, we were able to isolate x and solve the equation.