Respuesta :

vialia

Answer:

x = 4

Step-by-step explanation:

7x + 16/11 = 4

11 x 7x + 16/11 = 4 x 11

7x + 16 = 44

7x + 16 - 16 = 44 - 16

7x = 28

7x/7 = 28/7

x = 4

Check:

7x + 16/11 = 4

7(4) + 16/11 = 4

28 + 16/11 = 4

44/11 = 4

4 = 4 (note that this number is not the answer, just to check if each side is balanced, the actual answer is 4)

Bam !

Hope this helps ^w^

Space

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

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:

Step 1: Define

[tex]\displaystyle \frac{7x + 16}{11} = 4[/tex]

Step 2: Solve for x

  1. Multiply 11 on both sides:                    [tex]\displaystyle 7x + 16 = 44[/tex]
  2. Subtract 16 on both sides:                  [tex]\displaystyle 7x = 28[/tex]
  3. Divide 7 on both sides:                       [tex]\displaystyle x = 4[/tex]

Step 3: Check

Plug in x into the original equation to verify it's a solution.

  1. Substitute in x:                    [tex]\displaystyle \frac{7(4) + 16}{11} = 4[/tex]
  2. [Frac] Multiply:                    [tex]\displaystyle \frac{28 + 16}{11} = 4[/tex]
  3. [Frac] Add:                          [tex]\displaystyle \frac{44}{11} = 4[/tex]
  4. [Frac] Divide:                      [tex]\displaystyle 4 = 4[/tex]

Here we see that 4 does indeed equal 4.

∴ x = 4 is the solution to the equation.