(i) Given that log, x+2 log, y=4 show that xy=16. Hence solve for x and y the simultaneous equations: log, x+ 2log, y=4 log₁0 (x+y) -1

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Chapter6: Vector Spaces
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Given that show that .
(i) Given that log₂ x+2 log, y=4 show that xy = 16.
Hence solve for x and y the simultaneous equations:
log₂ x+ 2log, y = 4
log₁0 (x + y) =1
(ii) Find the values of y which satisfy the equation: (81) ³.
y
1
32%
8
(iii) A girl spends of her pocket money on snacks and of what is left on
clothes. If she has GHC 261 left, how much is her pocket money?
(iv). John is twice as old as Mary. If John's age was 3 times, Mary's age 5years
ago. Find their ages now.
L
Question 2
(i) The sum of two numbers is 18 while their product is -63. Find the numbers.
(ii). A boy has to cover 4km to catch a bus. He walks part of the distance at
3km/h and runs the rest at 5km/h. If he takes 1 hour to complete the distance,
how many kilometers, does he walk?
(ii) A company manufactures two types of TV sets, which are assembled and
finished in two workshops W₁ and W₂.
Each type takes 20 hours and 10 hours for assembly and 5 hours and 3
hours for finishing in the respective workshops.
If total number of hours available are 450 and 230 in workshops W₁ and W₂
respectively, Calculate the number of units of each type be produced,
using matrix method only.
Transcribed Image Text:(i) Given that log₂ x+2 log, y=4 show that xy = 16. Hence solve for x and y the simultaneous equations: log₂ x+ 2log, y = 4 log₁0 (x + y) =1 (ii) Find the values of y which satisfy the equation: (81) ³. y 1 32% 8 (iii) A girl spends of her pocket money on snacks and of what is left on clothes. If she has GHC 261 left, how much is her pocket money? (iv). John is twice as old as Mary. If John's age was 3 times, Mary's age 5years ago. Find their ages now. L Question 2 (i) The sum of two numbers is 18 while their product is -63. Find the numbers. (ii). A boy has to cover 4km to catch a bus. He walks part of the distance at 3km/h and runs the rest at 5km/h. If he takes 1 hour to complete the distance, how many kilometers, does he walk? (ii) A company manufactures two types of TV sets, which are assembled and finished in two workshops W₁ and W₂. Each type takes 20 hours and 10 hours for assembly and 5 hours and 3 hours for finishing in the respective workshops. If total number of hours available are 450 and 230 in workshops W₁ and W₂ respectively, Calculate the number of units of each type be produced, using matrix method only.
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