Question

Solve for w.
5W + 9z = 2z + 3w
w=-7/2 z
w=-2/7 z
w=-2z
w= -7z

Answer 1

w = -
`(7)/(2)` z

Explanation:

Given

5w + 9z = 2z + 3w ( subtract 3w from both sides )

2w + 9z = 2z ( subtract 9z from both sides )

2w = - 7z ( divide both sides by 2 )

w = -
`(7)/(2)` z

Answer 2

w = -7/2z

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
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

Identify

5w + 9z = 2z + 3w

Step 2: Solve for w

1. [Subtraction Property of Equality] Subtract 3w on both sides: 2w + 9z = 2z
2. [Subtraction Property of Equality] Subtract 9z on both sides: 2w = -7z
3. [Division Property of Equality] Divide 2 on both sides: w = -7/2z