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Nesterboy [21]
3 years ago
9

−2a−9=6a+15 . Check your solution.

Mathematics
2 answers:
Jlenok [28]3 years ago
7 0

Answer:

a = -3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

-2a - 9 = 6a + 15

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

  1. Add 2a on both sides:                    -9 = 8a + 15
  2. Subtract 15 on both sides:              -24 = 8a
  3. Divide 8 on both sides:                  -3 = a
  4. Rewrite:                                           a = -3

<u>Step 3: Check</u>

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

  1. Substitute in <em>a</em>:                    -2(-3) - 9 = 6(-3) + 15
  2. Multiply:                               6 - 9 = -18 + 15
  3. Subtract/Add:                      -3 = -3

Here we see that -3 does indeed equal -3.

∴ a = -3 is a solution of the equation.

Artemon [7]3 years ago
7 0

Answer:

−2a−9 = 6a+15

-2a-6a = 15+9

-8a = 24

a = -3

Checking:

-2·(-3) - 9 = 6·(-3) + 15

6 -9 = -18 +15

-3 = -3

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Answer:

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Step-by-step explanation:

From the question,

A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour.

If Brian keeps his pace, how long will it take him to run a half marathon?

This is calculated as:

6 1/3 miles = 1 hour

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Cross Multiply

6 1/3 miles × x hour = 13 miles × 1 hour

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Sphinxa [80]
Data:
<span>missing number = x

Solving:
</span>(5+x)+35= 5 + (12+ 35)
5+x+35= 5 + 47
Put the numbers with incognito on the left and change the signal when changing sides if necessary, put the numbers without incognito on the right by changing the signal if necessary.
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