Question

-2/7w=8 solve for w what is the answer

Answer 1

w = -28

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 Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

-2/7w = 8

Step 2: Solve for w

1. [Division Property of Equality] Divide both sides by -2/7: w = -28

Step 3: Check

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

1. Substitute in w: -2/7(-28) = 8
2. Multiply: 8 = 8

Here we see that 8 does indeed equal 8.

∴ w = -28 is the solution to the equation.