Question

What properties of equality are necessary to solve the equation 2.9x - 17.6 = 5.6? Solve the equation. Select all properties that apply.

A) The Division Property of Equality
B) The Addition Property of Equality
C) The Subtraction Property of Equality
D) The Multiplication Property of Equality

Answer 1

To solve the equation 2.9x - 17.6 = 5.6, we can use the Addition, Subtraction, and Multiplication properties of equality. By adding 17.6 to both sides and then dividing by 2.9, we find that x = 8.

Step-by-step explanation:

To solve the equation 2.9x - 17.6 = 5.6, we need to use the properties of equality. The properties that apply in this case are:

1. The Addition Property of Equality
2. The Subtraction Property of Equality
3. The Multiplication Property of Equality

We need to isolate the variable x, so we'll start by adding 17.6 to both sides of the equation:

2.9x - 17.6 + 17.6 = 5.6 + 17.6

This simplifies to:

2.9x = 23.2

Next, we'll divide both sides of the equation by 2.9 to solve for x:

(2.9x)/2.9 = 23.2/2.9

This simplifies to:

x = 8