Q4 of 92 Page 64

Let us solve the following pairs of equations by drawing graphs which are solvable and write 3 solutions which have infinite number of solutions.

4x + 3y = 20


8x + 6y = 40

4x + 3y = 20 y = ... equation (i)


Equation (i) will be plotted as line AB.


8x + 6y = 40 y = ... equation (ii)



Equation (ii) will be plotted as line CD.



Here we can see in the graph that, lines AB and CD overlaps on each other. Therefore, it has infinite number of solutions.


Among them 3 solutions are: x = 2 & y = 4


x=5 & y = 0


x= -1 & y=8


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3

Let us determine the relations of ratios of the same variable and constants of the following pairs of equations and write whether the graphs of the equations will be parallel or intersecting or overlapping.

8x – 7y = 0


8x – 7y = 56

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Let us determine the relations of ratios of the same variable and constants of the following pairs of equations and write whether the graphs of the equations will be parallel or intersecting or overlapping.

4x – 3y = 6


4y – 5x = –7

 4

Let us solve the following pairs of equations by drawing graphs which are solvable and write 3 solutions which have infinite number of solutions.

4x + 3y = 20


12x + 9y = 20

 4

Let us solve the following pairs of equations by drawing graphs which are solvable and write 3 solutions which have infinite number of solutions.

4x + 3y = 20