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Novay_Z [31]
3 years ago
14

4x – 1 = 7x – 16 Solve the problem (Show your work)

Mathematics
2 answers:
Katarina [22]3 years ago
6 0

Answer:

x = 5

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>

4x - 1 = 7x - 16

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

  1. Subtract 4x on both sides:                    -1 = 3x - 16
  2. Add 16 to both sides:                             15 = 3x
  3. Divide 3 on both sides:                          5 = x
  4. Rewrite:                                                   x = 5

<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>:                    4(5) - 1 = 7(5) - 16
  2. Multiply:                               20 - 1 = 35 - 16
  3. Subtract:                              19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 5 is a solution to the equation.

pantera1 [17]3 years ago
4 0

Answer:

4x−1=7x−16

Step 1: Subtract 7x from both sides.

4x−1−7x=7x−16−7x

−3x−1=−16

Step 2: Add 1 to both sides.

−3x−1+1=−16+1

−3x=−15

Step 3: Divide both sides by -3.

−3x

−3

=

−15

−3

x=5

Step-by-step explanation:

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