Ask Question
MathematicsMathematics
16 August, 16:26

8a - (15 - a) = 6 (a - 7) + 15

+2
Answers (2)
  1. 16 August, 17:22
    0
    The correct answer is a=-4
  2. 16 August, 17:23
    0
    a = - 4 or 3a+12=0 (not sure what you want)

    Step-by-step explanation:

    Solve for a:

    8 a - (15 - a) = 6 (a - 7) + 15

    - (15 - a) = a - 15:

    8 a + a - 15 = 6 (a - 7) + 15

    Grouping like terms, 8 a + a - 15 = (8 a + a) - 15:

    (8 a + a) - 15 = 6 (a - 7) + 15

    8 a + a = 9 a:

    9 a - 15 = 6 (a - 7) + 15

    6 (a - 7) = 6 a - 42:

    9 a - 15 = 6 a - 42 + 15

    Grouping like terms, 6 a - 42 + 15 = 6 a + (15 - 42):

    9 a - 15 = 6 a + (15 - 42)

    15 - 42 = - 27:

    9 a - 15 = 6 a + - 27

    Subtract 6 a from both sides:

    (9 a - 6 a) - 15 = (6 a - 6 a) - 27

    9 a - 6 a = 3 a:

    3 a - 15 = (6 a - 6 a) - 27

    6 a - 6 a = 0:

    3 a - 15 = - 27

    Add 15 to both sides:

    3 a + (15 - 15) = 15 - 27

    15 - 15 = 0:

    3 a = 15 - 27

    15 - 27 = - 12:

    3 a = - 12

    Divide both sides of 3 a = - 12 by 3:

    (3 a) / 3 = (-12) / 3

    3/3 = 1:

    a = (-12) / 3

    The gcd of - 12 and 3 is 3, so (-12) / 3 = (3 (-4)) / (3*1) = 3/3*-4 = - 4:

    Answer: |

    | a = - 4Solve for a:

    8 a - (15 - a) = 6 (a - 7) + 15

    - (15 - a) = a - 15:

    8 a + a - 15 = 6 (a - 7) + 15

    Grouping like terms, 8 a + a - 15 = (8 a + a) - 15:

    (8 a + a) - 15 = 6 (a - 7) + 15

    8 a + a = 9 a:

    9 a - 15 = 6 (a - 7) + 15

    6 (a - 7) = 6 a - 42:

    9 a - 15 = 6 a - 42 + 15

    Grouping like terms, 6 a - 42 + 15 = 6 a + (15 - 42):

    9 a - 15 = 6 a + (15 - 42)

    15 - 42 = - 27:

    9 a - 15 = 6 a + - 27

    Subtract 6 a from both sides:

    (9 a - 6 a) - 15 = (6 a - 6 a) - 27

    9 a - 6 a = 3 a:

    3 a - 15 = (6 a - 6 a) - 27

    6 a - 6 a = 0:

    3 a - 15 = - 27

    Add 15 to both sides:

    3 a + (15 - 15) = 15 - 27

    15 - 15 = 0:

    3 a = 15 - 27

    15 - 27 = - 12:

    3 a = - 12

    Divide both sides of 3 a = - 12 by 3:

    (3 a) / 3 = (-12) / 3

    3/3 = 1:

    a = (-12) / 3

    The gcd of - 12 and 3 is 3, so (-12) / 3 = (3 (-4)) / (3*1) = 3/3*-4 = - 4:

    Answer: a = - 4
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “8a - (15 - a) = 6 (a - 7) + 15 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers
You Might be Interested in
The difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95.
Answers (1)
A local 4-H club surveyed its members, and the following information was obtained: 14 members had rabbits, 10 had goats, 4 had both rabbits and goats, and 13 had neither rabbits nor goats. (Round your answers to three decimal places.
Answers (1)
Dion need 25% more cookies and Cameron they saw the cookies for $.50 each let X represent the number of cookies Cameron made which of the following expressions represent possible revenue from the sales select all that apply
Answers (1)
A school principal wants to determine which type of movie the students prefer to watch during an assembly for the entire student population. Which survey method would produce the best representative sample?
Answers (1)
A blanket is 4 feet wide. It is 3 times as long as it is wide. Find the perimeter and area of the blanket.
Answers (1)
New Questions in Mathematics
If John has 13 more Apple than jake and Mary has 26 less that jake and all together they have 236 apples how many Apple does each person have
Answers (1)
Which of the following is a perfect square? 65, 144, 68, 131
Answers (2)
What does Pythagorean Theorem do or find? (100 PTS) !
Answers (2)
A car is 210 inches long. A trubkis 60% longer than the car. How long is the truck?
Answers (2)
2p - 1/q = r/q + 4, subject q
Answers (1)
Home » Mathematics » 8a - (15 - a) = 6 (a - 7) + 15
Sign Up Forgot Password?