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CBSE Class 9 Answered

Two pens and three pencils together cost Rs. 20. Represent this statement as a linear equation in two variables and given two solutions for it. Also verify if (4,2) is a solution of the equation formed.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Let cost of pen be x.

And cost of pencil by y.

2x + 3y = 20

Put x = 2

2x + 3y = 20

2(2) + 3y = 20

4 + 3y = 20

3y = 16

y =

(x, y) = (2, )

Put x = 3

2x + 3y = 20

2(3) + 3y = 20

6 + 3y = 20

3y = 14

y =

(x, y) = (3, )

Put x = 4 and y = 2

LHS = 24 + 32 = 8 + 6 = 14 20

(4, 2) is not a solution of the given equation.

Answered by | 04 Jun, 2014, 03:23: PM

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