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Check each of the given systems of equation to see if it has a unique solution, infintely many solutions or no solution, Solve them graphically (0) 2x+3y=1 (M) 3x+2y=6 6x+4y=18 3x-y=7

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 For what value of the following pair of equations has a unique solution 2x py-5 and 3x+3y=-6 2 Find the value of K for which the pair of equations 2x-ky+3=0, 4x+6x-5=0 represent parallel lines. 3. For what value of X, the pair of equations 3x+4y+20 and 9x+12y+k=0 represents coincident lines 4. For what positive values of p, the following pair of linear equations have infinitely many solutions ps3y-ip-3)=0

Let us look at some more examples.

Example-4

 In a garden there are some bees and flowers. If one bee sits on each flower then one bee will be left If two bees sit on each flower, one flower will be left. Find the number bees and number of flowers.

Solution:

 Let the number of bees=3 and the number of flowers y If one bee sits on each flower then one bee will be left. So,x=y+1




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