Question

Solve: 5(w +2.2) – 4w = 9.3.
Provide your answer below:
W =

Answer 1

Answer:

w = -1.7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Property

Step-by-step explanation:

Step 1: Define

5(w + 2.2) - 4w = 9.3

Step 2: Solve for w

1. Distribute 5:                      5w + 11 - 4w = 9.3
2. Combine like terms:         w + 11 = 9.3
3. Isolate w:                           w = -1.7

Step 3: Check

Plug in w into the original equation to verify it's a solution.

1. Substitute in w:                   5(-1.7 + 2.2) - 4(-1.7) = 9.3
2. (Parenthesis) Add:              5(0.5) - 4(-1.7) = 9.3
3. Multiplication:                      2.5 + 6.8 = 9.3
4. Addition:                              9.3 = 9.3

Here we see that 9.3 does indeed equal 9.3.

∴ w = -1.7 is the solution to the equation.