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Solving a word problem using a system of linear equations of the form Ax + By = C

Solving a word problem using a system of linear equations of the form Ax + By = C-example-1
User Shshnk
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1 Answer

5 votes

Answer:

To rent one chair = $2.50

To rent one table = $8

Explanation:

Let chair be represented by 'c' and table by 't'

2c + 5t = 45 ... equation 1

8c + 3t = 44 ... equation 2

Multiply equation 1 by 8 and equation 2 by 2

16c + 40t = 360 ... equation 3

16c + 6t = 88 ... equation 4

Subtract equation 4 from equation 3

34t =272

t = 272 ÷ 34

t = 8

Substitute t for 8 in equation 1

2c + 5(8) = 45

2c + 40 = 45

2c = 45-40

2c = 5

c = 5 ÷ 2

c = 2.5

Therefore, one chair costs $2.50 and one table costs $8

User Rosalba
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