1/3z=-5 solve the equation for the value of the variable show all work
2 answers:
Answer:
z = -15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
1/3z = -5
<u>Step 2: Solve for </u><em><u>z</u></em>
- Multiplication Property of Equality [Multiply both sides by 3]: 3 · 1/3z = -5 · 3
- Simplify [Multiply]: z = -15
<u>Step 3: Check</u>
<em>Plug in z into the original equation to verify it's a solution.</em>
- Substitute in <em>z</em>: 1/3(-15) = -5
- Multiply: -5 = -5
Here we see that -5 does indeed equal -5.
∴ z = -15 is the solution to the equation.
Answer:
z=-15
Step-by-step explanation:
Multiply both sides by 3:
z=-15
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