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

z = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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

Step 3: Check

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

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

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

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

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