Question

Solve

thanks and give how you done it too

Answer 1

x = 4

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^

Answer 2

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

Explanation:

Step 1: Define

`\displaystyle (7x + 16)/(11) = 4`

Step 2: Solve for x

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

Step 3: Check

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

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

Here we see that 4 does indeed equal 4.

∴ x = 4 is the solution to the equation.