Ask Question
4 July, 20:24

Given a+b=7 and a-b=3, find:

3^a:3^b

+3
Answers (2)
  1. 4 July, 20:26
    0
    a = - 2 and b=3

    Step-by-step explanation:

    Step 1) Solve the first equation for a:

    a + 3b = 7

    a + 3b - 3b = 7 - 3b

    a + 0 = 7 - 3b

    a = 7 - 3b

    Step 2) Substitute (7 - 3b) for a in a second equation and solve for b:

    2a = b - 7 becomes:

    2 (7 - 3b) = b-7

    (2 multi. 7) - (2 multi. 3b) = b-7

    14 - 6b = b - 7

    14 + 7 - 6b + 6b = b + 6b = b + 6b - 7 + 7

    21 - 0 = 1b + 6b - 0

    21 = (1 + 6) b

    21 = 7b

    21 / 7 = 7b/7

    3 = 7b/7

    3 = b

    b = 3

    Step 3) Substitute 3 for b in the solution to the first equation at the end of Step 1 and calculate a:

    a = 7 - 3b becomes:

    a = 7 - (3 ⋅ 3)

    a = 7 - 9

    a = - 2
  2. 4 July, 20:44
    0
    I'm not under standing what you're asking
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Given a+b=7 and a-b=3, find: 3^a:3^b ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers