Question

0.50, and
3. The cost of 2 kg of apples and 1kg of grapes on a day was found to be? 18
month, the cost of 4 kg of apples and 2 kg of grapes is 300. Represente
algebraically and geometrically,
. In the situat
In Fig​

Answer 1

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Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

The cost of 2 kg of apples ...

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The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

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ANSWER

x 65 55 45 35

y 20 40 60 80

Let the cost of 1 kg of apples be x and that of 1 kg be y

So the algebraic representation can be as follows:

2x+y=160

4x+2y=300⇒2x+y=150

The situation can be represented graphically by plotting these two equations.

2x+y=160⇒y=160−2x

x 70 60 50 40

y=160−2x 20 40 60 80

2x+y=150⇒y=150−2x

x 65 55 45 35

y=150−2x 20 40 60 80

We can see that the lines do not intersect anywhere, i.e. they are parallel. Hence we can not arrive at a solution.

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