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stich3 [128]
3 years ago
14

Solve each equation

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

3b+7-1=-3

3b+6= -3

Move +6 to the other side. Sign changes from +6 to -6.

3b+6-6= -3-6

3b=-9

Divide by 3

3b/3=-9/3

b= -3

3x+1-6x=7

3x-6x+1= 7

-3x+1= 7

Move +1 to the other side. Sign changes from +1 to -1.

-3x+1-1= 7-1

-3x=6

Divide by -3

-3x/3= 6/-3

x= -2

312=-6(7x-3)

Mutiply the bracket by -6

312= (-6)(7x)(-6)(-3)

312= -42x+18

Move +18 to the other side.

312-18= -42x+18-18

312-18= -42x

294=- 42x

divide by -42

294/-42= -42/-42x

x= -7

-4(4n-8)=128

Mutiply the bracket by -4

(-4)(4n)(-4)(-8)= 128

-16n+32= 128

move +32 to the other side

-16n+32-32= 128-32

-16n= 96

divide by -16

-16/-16n= 96/-16

n= -6

Answers:

b= -3

x= -2

x= -7

n= -6

Slav-nsk [51]3 years ago
7 0

Answer:

b= -3

x= -2

x= -7

n = -6

Step-by-step explanation:

3b+7-1=-3

3b = -3 -7 +1

3b = -10+1

3b= -9

b = -9/3

b= -3

3x+1-6x=7

-3x = 7-1

-3x= 6

x= -6/3

x= -2

312=-6(7x-3)

312 = -6*7x +6*3

312= -42x +18

312-18= -42x

294 = -42x

x= -294/42

x= -7

-4(4n-8)=128

-4*4n +4*8 =128

-16n +32 = 128

-16n= 128-32

-16n = 96

n=-96/16

n = -6

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Step-by-step explanation:

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The last pair of factors differ by 5, so represent the solution to the problem.

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timofeeve [1]

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

13x - 6y = 22

x = y + 6

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

<em>Substitution</em>

  1. Substitute in <em>x</em>:                              13(y + 6) - 6y = 22
  2. Distribute 13:                                 13y + 78 - 6y = 22
  3. Combine like terms:                      7y + 78 = 22
  4. Isolate <em>y</em> term:                                7y = -56
  5. Isolate <em>y</em>:                                         y = -8

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                    x = y + 6
  2. Substitute in <em>y</em>:                                     x = -8 + 6
  3. Add:                                                      x = -2
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Answer:

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\frac{3}{5} * n = m - 8

\frac{3}{5} * n = 80 - n - 8 \\\\\frac{3}{5} * n + n = 72\\\\\frac{8}{5} * n = 72\\n = 45 \\m = 35\\

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Answer:

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Step-by-step explanation:

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