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Nina [5.8K]
2 years ago
11

What’s the answer to 250 = 4(1 - 7x)

Mathematics
1 answer:
Dima020 [189]2 years ago
5 0

Answer:

x = -123/14

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

  • 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>

250 = 4(1 - 7x)

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

  1. Divide both sides by 4:                    125/2 = 1 - 7x
  2. Subtract 1 on both sides:                  123/2 = -7x
  3. Divide -7 on both sides:                   -123/14 = x
  4. Rewrite:                                             x = -123/14

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    250 = 4(1 - 7(-123/14))
  2. (Parenthesis) Multiply:        250 = 4(1 + 123/2)
  3. (Parenthesis) Add:              250 = 4(125/2)
  4. Multiply:                               250 = 250

Here we see that 250 does indeed equal 250.

∴ x = -123/14 is the solution to the equation.

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