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andre [41]
3 years ago
5

If two numbers represent by (2m + 1) and (2m + 5) have a sum of 74, find

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

(2m + 1) + (2m + 5) = 74

combine like terms

4m+6 = 74

subtract 6 from each side

4m = 68

divide by 4

m =17

2m+1 = 2(17)+ 1 = 34+1 = 35

2m+5 = 2(17) +5 = 34+5 = 39

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What is the value of x in the equation 3- 2x = -1.5х?
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Answer:

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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>

3 - 2x = -1.5x

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

  1. Add 2x on both sides:                    3 = 0.5x
  2. Divide 0.5 on both sides:               6 = x
  3. Rewrite:                                           x = 6

<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>:                    3 - 2(6) = -1.5(6)
  2. Multiply:                               3 - 12 = -9
  3. Subtract:                              -9 = -9

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

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