Question

3. The cost of 2 kg of apples and Ikg of grapes on a day was found to be? 160. After a
month, the cost of 4 kg of apples and 2 kg of grapes is 300. Represent the situation
algebraically and geometrically.
Graphical Method of Solution of a Pair of Linear Equations
he previous section, you have seen how we can graphically represent a pair of
ar equations as two lines. You have also seen that the lines may intersect, or may
arallel, or may coincide. Can we solve them in cache​

Answer 1

Step-by-step explanation:

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.

I hope it May helps to you