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ExtremeBDS [4]
2 years ago
14

Solve 2(x/4+8)=18 you may use the flowchart to help you if you wish

Mathematics
1 answer:
djyliett [7]2 years ago
6 0

Answer:

x = 4

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>

2(x/4 + 8) = 18

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

  1. Divide 2 on both sides:                     x/4 + 8 = 9
  2. Subtract 8 on both sides:                  x/4 = 1
  3. Multiply 4 on both sides:                   x = 4

<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>:                    2(4/4 + 8) = 18
  2. (Parenthesis) Divide:           2(1 + 8) = 18
  3. (Parenthesis) Add:              2(9) = 18
  4. Multiply:                               18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 4 is the solution to the equation.

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So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:

y+3+y=7\\2y+3=7\\2y=4\\y=2

Next, now that we have the value of y, substitute it into either equation to solve for x:

x+2=7\\x=5\\\\x=2+3\\x=5

<u>And this is how you get your final answer (5,2).</u>

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mezya [45]

Answer:

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Step-by-step explanation:

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