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alexdok [17]
3 years ago
8

3/4x+5−1/2x=3 what is the value of x?

Mathematics
1 answer:
dimaraw [331]3 years ago
7 0

Answer:

-1/8 is the answer

Step-by-step explanation:

1.) 1st we have to take 1/2x and make the bottom number 4. so we multiply by 2 and you should get 2/4.

2.) so now the equation should be 3/4x + 5 -2/4x = 3. now you take 3/4x and -2/4x and subtract them and you should get 1/4x.

3.) now the equation should look like 1/4x + 5 = 3. now we need to get all whole numbers to one side. so we will subtract 5 from 5 and that will cancel it out and we need to do that to both sides. so we will subtract 5 from 3 and you will get -2.

4.) now the equation should look like 1/4x = -2. now you put a 1 under the 2 to make it a fraction. it should look like 2/1 and then you are going to flip it because that is how you divide fractions. so now your equation should look like 1/4x = 1/2. now you multiply strait across both bottom and top. and you will get x = -1/8 and that is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.      

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tensa zangetsu [6.8K]

Answer:

x = -7/4

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

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

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

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

<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>:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

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Step-by-step explanation:

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