 Hello friends, welcome to the session. I am Malka. We are going to discuss a pair of linear equation into variables a given question Is the coach of a record team buys three baths and six balls for rupees 3900 later She buys another bat and two more balls of the same kind for rupees 1300 Represent the situation algebraically and Geometry, okay, let's start with the solution. Now from the question. We see that there are two unknowns cost of the baths and the cost of the balls, so let the cost of One bat V rupees x therefore the cost of three baths Will be rupees 3x now again, let the cost of One bat one ball V rupees why therefore the cost of six balls Will be rupees Six wide Now according to question we see that the cost of three baths and six balls is rupees 3900 so it can be written as 3x that is three baths plus six balls Equal to 3900 now on taking three common we get x plus 2y equal to 1300 so let this be our first equation now again from the question. We see that two balls cost rupees 3900 so this is our second equation that's the algebraic representation of the given situation is 3x plus 6y equal to 3900 or it can be written as x plus 2y equal to 1300 this is our first equation and second equation is x plus 2y equal to 1300 so this is our second equation now. Let's see the graphical representation of the given situation Come above we see that the two equations are x plus 2y equal to 1300 is our first equation and second equation is x plus 2y equal to 1300 we see that our whole the equations are same So we'll find the two solutions for these two equations. So if we take x and y if we take x equal to 1100 we get y equal to 100 and on taking x equal to 100 we get y equal to 600 now we'll plot these points on the graph the point a which coordinates 1100 and 100 and point b which coordinates 100 and 600 Thus we see that the line representing the two equation x plus 2y equal to 1300 is a coincident line Thus we see that the two lines representing the equation x plus 2y equal to 1300 is a Coincident hope you understood the solution and enjoyed the session. Goodbye and take care