Question

1/3z=-5 solve the equation for the value of the variable show all work

Answer 1

z=-15

Explanation:

Multiply both sides by 3:

z=-15

Answer 2

z = -15

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

1/3z = -5

Step 2: Solve for z

1. Multiplication Property of Equality [Multiply both sides by 3]: 3 · 1/3z = -5 · 3
2. Simplify [Multiply]: z = -15

Step 3: Check

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

1. Substitute in z: 1/3(-15) = -5
2. Multiply: -5 = -5

Here we see that -5 does indeed equal -5.

∴ z = -15 is the solution to the equation.