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zzz [600]
3 years ago
9

(7x-1)+(13x-19)=180 solve for x

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

x = 10

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

Step-by-step explanation:

<u>Step 1: Define Equation</u>

(7x - 1) + (13x - 19) = 180

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

  1. Combine like terms:                    20x - 20 = 180
  2. Isolate <em>x</em> term:                              20x = 200
  3. Isolate <em>x</em>:                                       x = 10

<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>:                    (7(10) - 1) + (13(10) - 19) = 180
  2. Multiply:                               (70 - 1) + (130 - 19) = 180
  3. Subtract:                              69 + 111 = 180
  4. Add:                                     180 = 180

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.

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