Respuesta :

BenDaChickenMaster

Answer:

z=-15

Step-by-step explanation:

Multiply both sides by 3:

z=-15

Space

Answer:

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

Step-by-step 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.

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