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3 years ago

{\rtf1\ansi\ansicpg1252\cocoartf2578

Mathematics

1 answer:

Anastasy [175]3 years ago

5 0

Answer:

What are we meant to do?

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soldi70 [24.7K]

Answer:

b. -84

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

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{a}{-7} - 7 = 5$

Step 2: Solve for a

Addition Property of Equality: $\displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7$
[Simplify] Add: $\displaystyle \frac{a}{-7}= 12$
Multiplication Property of Equality: $\displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7$
[Simplify] Multiply: $\displaystyle a = -84$

Step 3: Check

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

Substitute in a: $\displaystyle \frac{-84}{-7} - 7 = 5$
[Frac] Divide: $\displaystyle 12 - 7 = 5$
Subtract: $\displaystyle 5 = 5$

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

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3 years ago