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marshall27 [118]
3 years ago
7

What is the value of x in the equation 1/4x-1/8=7/8+1/2x?A. x=-5B. x=-4C. x=4D.x=5​

Mathematics
2 answers:
damaskus [11]3 years ago
7 0

Answer:

B) x = -4

Step-by-step explanation:

\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4

Taya2010 [7]3 years ago
4 0
C is always the answer
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Solve for z: -4 - (z - 6) = 12
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-4 - (z - 6) = 12

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

  1. Distribute negative:                              -4 - z + 6 = 12
  2. Combine like terms:                             -z + 2 = 12
  3. Subtract 2 on both sides:                    -z = 10
  4. Divide -1 on both sides:                        z = -10

<u>Step 3: Check</u>

<em>Plug in z to verify it's a solution.</em>

  1. Substitute:                    -4 - (-10 - 6) = 12
  2. Subtract:                       -4 - (-16) = 12
  3. Simplify:                        -4 + 16 = 12
  4. Add:                               12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

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