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Bumek [7]
2 years ago
13

How to solve the equation 8b - 12 = 5b

Mathematics
1 answer:
Virty [35]2 years ago
4 0

Answer:

b = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

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

8b - 12 = 5b

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

  1. Subtract 5b on both sides:                    3b - 12 = 0
  2. Add 12 on both sides:                            3b = 12
  3. Divide 3 on both sides:                          b = 4

<u>Step 3: Check</u>

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

  1. Substitute:                  8(4) - 12 = 5(4)
  2. Multiply:                      32 - 12 = 20
  3. Subtract:                     20 = 20

And we have our final answer!

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Plz help me 75 points for the 2 questions!!!
liraira [26]

Answer:

<h3>#1</h3>

<u>The system of equations:</u>

  • 2x + 7y = -11
  • 3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

  • 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
  • 6x + 21y - 6x - 10y = -33 + 44
  • 11y = 11
  • y = 1

<u>Find x:</u>

  • 2x + 7*1 = -11
  • 2x = -11 - 7
  • 2x = -18
  • x = -9

<u>The solution is:</u>

  • x = -9, y = 1
<h3>#2</h3>

<u>Simplifying in steps:</u>

  • 8u - 29 > -3(3 - 4u)
  • 8u - 29 > - 9 + 12u
  • 12u - 8u < -29 + 9
  • 4u < -20
  • u < -5
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