Method of Substitution to Find the Solution of a Pair of Linear Equations
A lending lib...
Question
A lending library has a fixed charge for the first three days and an additional charges for each day thereafter. Shital paid Rs. 36 for a book kept for 10 days. Write a linear equation which satisfies the data. Also draw the graph for the same.
A
x−6y=23
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B
x+7y=36
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C
x−5y=43
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D
x+9y=45
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Solution
The correct option is Bx+7y=36 No. of days= 10−3= 7days
Amount paid for a book = Rs36
There is additional charges for each day .
Let the fixed charge be x and the additional charges for each day be y
the charges for first 3 days is x
after which the charges for rest of the 7 days is 7y
∴ Required linear equation which satisfies the data is