. The cost of 2 books, 6 notebooks and 3 pens is Rs. 120. The cost
of 3 books, 4 notebooks and 2 pens is Rs. 105 while the cost of
5 books, 7 notebooks and 4 pens is Rs. 183. Using this information
find the cost of I book, 1 notebook and 1pen
Answers
Answer:
Step-by-step explanation:
Cost of a book = x
Cost of a notebook = y
Cost of a pen = z
2x + 6y + 3z = 40
3x + 4y + 2z = 35
5x + 7y + 4z = 61
2 6 3 40
3 4 2 35
5 7 4 61
R₁/2⇒ R₁ 1 3 3/2 20
3 4 2 35
(R₁ + R₂) - R₃ ⇒ R₃ 0 3 1 14
1 3 3/2 20
3R₁ - R₂ ⇒ R₂ 0 5 5/2 25
0 3 1 14
1 3 3/2 20
R₂/5 ⇒ R₂ 0 1 1/2 5
0 3 1 14
1 3 3/2 20
0 1 1/2 5
3R₂ - R₃ ⇒ R₃ 0 0 1/2 1
1/2 z = 1
z = 2
y + 1/2 z = 5
y + 1 = 5
y = 4
x + 3y + 3/2 z = 20
x = 20 - 12 - 3 = 5
Cost of one book = 5
Cost of one notebook = 4
Cost of one pen = 2
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Answer:
I have given the explanation below
