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liraira [26]
3 years ago
6

Given a+b=7 and a–b=3, find: 3^a÷3^b

Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer:

27

Step-by-step explanation:

a + b = 7      ....eq 1

a - b = 3       ....eq 2

solve simultaneously using elimination method

add eq 2 to eq 1

a + b = 7    

+

a - b = 3

2a = 10

a = 5

substitute the value of a in eq 1

5 + b = 7

subtract 5 from both sides

5 - 5 + b = 7- 5

b = 2

Now, slot in the values of both a and b

3^a÷3^b

we will solve using PEDMAS

3^5 / 3^2

3^{5-2}

3^{3}

27

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