By using Algebraic expression, we find the weigh of each textbook is 4.5 and the weigh of each workbook is 1.2.
What is Algebraic Expression?
Algebraic Expression are "idea of expressing numbers using letters or alphabet without specifying the actual values".
According to the question,
Let 'x' be the weigh of textbook
Let 'y' be the weight of workbook
A box containing number of physics textbooks is 10 and number of physics workbooks is 3 and its weigh of the box is 50.1.
The weigh of empty box is 1.5
10x + 3y + 1.5 = 50.1 →(1)
Another box containing number of physics textbooks is 8 and number of physics workbooks is 12 and its weigh of the box is 51.9.
The weigh of empty box is 1.5
8x + 12y + 1.5 = 51.9 → (2)
To solve (1) and (2)
10x + 3y + 1.5 = 50.1
8x + 12y + 1.5 = 51.9
multiply equation (1) by (-4), we get
-40x -12y -6 =-2,004 → (3)
Combining (2) and (3), we get
8x - 40x +12y - 12y + 1.5 - 6 =-2,004 + 51.9
-32x - 4.5 = -148.5 → (4)
multiply (4) by (-1), we get
32x +4.5 = 148.5
32x = 148.5 -4.5
x = 144/32
x= 4.5
Substitute x=4.5 in equation (1)
10(4.5) +3y + 1.5 = 50.1
3y + 46.5 = 50.1
3y = 3.6
y = 1.2
Hence, the weigh of each textbook is 4.5 and the weigh of each workbook is 1.2.
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