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Method of Substitution to Find the Solution of a Pair of Linear Equations

A pen cost rs...

Question

A pen cost rs 11 and a notebook costs rs13. Find the number of ways in which a person can spend can spend exactly rs1000 to buy pens and notebooks.

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Solution

Let the numbers of pens x & number of notebooks y.

11x + 13y = 1000

$x equals fraction numerator left parenthesis 1001 minus 11 y right parenthesis minus 1 minus 2 y over denominator 11 end fraction$

y = {5, 16, 27, 38, 49, 60, 71}

Total seven ways.
Answer: 7

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Method of Substitution to Find the Solution of a Pair of Linear Equations

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