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MArishka [77]
3 years ago
5

Please answer quickly.

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

3) 3a - 2 + 3 = -2

   3a            = -2 + 2 - 3 = -3

   a              = -3/3 = -1

4) m/-6 - 18 - 4 = -16

   m/-6             = -16 + 18 + 4 = 6

   m                  = 6 · (-6) = -36

5) x/-2 - 4 + 22 = -28

   x/-2              = -28 + 4 - 22 = -46

   x                   = -46 · (-2) = 92

6) -13 = 5 + 20m - 2m

   -13 = 5 + 18m

   -18 = 18m

   m  = -18/18 = -1

7) -2(2p - 1) = -14

   -4p + 2   = -14

   -4p          = -14 - 2 = -16

   p              = -16/(-4) = 4

8) -1(8x + 20) = 12

   -8x - 20      = 12

   -8x              = 12 + 20 = 32

   x                  = 32/(-8) = -4

9) -49 = 7(2x + 3)

   -49 = 14x + 21

   -14x = 49 + 21 = 70

   x                     = 70/-14 = -5

10) 3(8h - 4) + 17 = -19

     24h - 12 + 17 = -19

     24h               = -19 + 12 - 17 = -24

     h                   = -24/24 = -1

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Solve the system using substitution.<br> y - 3x = 1<br> 2y - x = 12<br> ([?], [])
anyanavicka [17]

Answer:

(2, 5)

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

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y - 3x = 1

2y - x = 12

<u>Step 2: Rewrite Systems</u>

y - 3x = 1

  1. Add 3x on both sides:                    y = 3x + 1

<u>Step 3: Redefine Systems</u>

y = 3x + 1

2y - x = 12

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2(3x + 1) - x = 12
  2. Distribute 2:                         6x + 2 - x = 12
  3. Combine like terms:           5x + 2 = 12
  4. Isolate <em>x</em> term:                     5x = 10
  5. Isolate <em>x</em>:                              x = 2

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

  1. Define equation:                    2y - x = 12
  2. Substitute in <em>x</em>:                       2y - 2 = 12
  3. Isolate <em>y </em>term:                        2y = 10
  4. Isolate <em>y</em>:                                 y = 5
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