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3 years ago

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Melissa Silva borrowed $6,300 from the bank. If she has already repaid 2/7 of the loan, what is the remaining balance owed to th

e bank (in $)?
$

1 answer:

lara31 [8.8K]3 years ago

7 0

Dear,
Answer is provided in the attached image

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Answer:

$\displaystyle x = \frac{216}{7}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}$ <u />

<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

Cross-multiply: $\displaystyle 6(2x - 2) = 19(x - 12)$
Distribute: $\displaystyle 12x - 12 = 19x - 228$
Isolate <em>x</em> terms: $\displaystyle -12 = 7x - 228$
Isolate <em>x</em> term: $\displaystyle 216 = 7x$
Isolate <em>x</em>: $\displaystyle \frac{216}{7} = x$
Rewrite: $\displaystyle x = \frac{216}{7}$

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