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ira [324]
3 years ago
12

Just number 9 would be fine please but also if you could number 10 would help​

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

9. a = -7

10. x = 1

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>

a + 6a - 14 = 3a + 6a

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

  1. Combine like terms:                    7a - 14 = 9a
  2. Subtract 7a on both sides:          -14 = 2a
  3. Divide 2 on both sides:               -7 = a
  4. Rewrite:                                         a = -7

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                   -7 + 6(-7) - 14 = 3(-7) + 6(-7)
  2. Multiply:                              -7 - 42 - 14 = -21 - 42
  3. Subtract:                             -49 - 14 = -63
  4. Subtract:                             -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

<u>Step 4: Define equation</u>

-12 - 4x = 8x + 4(1 - 7x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Distribute 4:                              -12 - 4x = 8x + 4 - 28x
  2. Combine like terms:                 -12 - 4x = -20x + 4
  3. Add 20x on both sides:            -12 + 16x = 4
  4. Add 12 on both sides:               16x = 16
  5. Divide 16 on both sides:            x = 1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -12 - 4(1) = 8(1) + 4(1 - 7(1))
  2. Multiply:                               -12 - 4 = 8 + 4(1 - 7)
  3. Subtract:                              -16 = 8 + 4(-6)
  4. Multiply:                               -16 = 8 - 24
  5. Subtract:                              -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

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