Example 6 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

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Example 6 Champa went to a Sale to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, The number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchased . Help her friends to find how many pants and skirts Champa bought. Let the number of pants purchased by Champa be x. & Let the number of skirts purchased by Champa be y. Number of skirts is two less than twice the number of pants purchased (Number of skirts purchased) = 2 (Number of pants purchased) 2 or y = 2(x) 2 2x y 2 = 0 Also, Number of skirts is 4 less than 4 times the number of pants purchased (Number of skirts purchased) = 4 (Number pants purchased) 4 or y = 4(x) 4 4x y - 4 = 0 Now, plotting equations 2x y 2 = 0 ...(1) 4x y 4 = 0 (2) Solving (1) 2x y 2 = 0 y = 2x 2 Solving (2) 4x y 4 = 0 y = 4x 4