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Andre45 [30]
3 years ago
11

Solve the equationshow your work9 + 12m = 6 + 15(m - 1)

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer: m=6

Step-by-step explanation:

9+12m=6+15\left(m-1\right)

6+15\left(m-1\right)=15m-9

9+12m=15m-9

subtract 9 on both sides

9+12m-9=15m-9-9

12m=15m-18

subtract 15m on both sides

12m-15m=15m-18-15m

-3m=-18

divide by -3 on both sides

\frac{-3m}{-3}=\frac{-18}{-3}

since \frac{-a}{-b}=\frac{a}{b}

\frac{-18}{-3}=6

m=6

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Which ordered pair (a, b) is the solution to the given system?
guajiro [1.7K]

Answer:

2a - 5b = 1

3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

   2a - 5b = 1

  3a + 5b = 14

+___________

   5a - 0 = 15

        5a = 15

          a = 3

Next, plug 3 for a into either of the equations and solve for b.

 2a - 5b = 1

2(3) - 5b = 1

   6 - 5b = 1

      - 5b = -5

          b = 1

Lastly, check all work by plugging both values for their respective variables.

    2a - 5b = 1

2(3) - 5(1) = 1

        6 - 5 = 1  --  This is true

    3a + 5b = 14

3(3) + 5(1) = 14

        9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).

Step-by-step explanation:

3 0
3 years ago
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Lina20 [59]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

4.5

Step-by-step explanation:

Let x be time that Diego spends in gym and y be walking distance.

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Minimum time of gym=4.5\ hours

Maximum time of gym=6\ hours

So the time x will be greater than 4.5 and less than 6.

4.5

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Minimum Distance=9\ miles

Maximum Distance=12\ miles

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9

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4.5

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Step-by-step explanation:

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