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weqwewe [10]
3 years ago
14

Solve the equation for x and  find the restrictions on the variable. Ax + bx = c​

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer:

x = c/(A + b)

A + b ≠ 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

Ax + bx = c

<u>Step 1: Solve for </u><em><u>x</u></em>

  1. Factor:                    x(A + b) = c
  2. Isolate <em>x</em>:                 x = c/(A + b)

We know that we cannot divide by 0, so A + b cannot equal 0.

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$13,168is invested, part at 13%and the rest at
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Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

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R = 5%

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I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

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5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

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Step-by-step explanation:

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