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Byju's Answer

Standard X

Mathematics

General Form of a Linear Equation in Two Variables

5 pens and 6 ...

Question

5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5. Find the cost of 1 pen and 1 pencil.

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Solution

Given:

(i) 5 pens and 6 pencils together cost of Rs. 9.

(ii) 3 pens and 2 pencils cost Rs. 5.

To Find: Cost of 1 pen and 1 pencil.

Let

(i) The cost of 1 pen = Rs x.

(ii) The cost of 1 pencil = Rs y.

According to question

Thus we get the following system of linear equation

By using cross multiplication we have

Cost of one pen =

Cost of one pencil =

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