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Question -

Determine graphically whether the system of equations x – 2y = 2, 4x – 2y = 5 is consistent or in-consistent ?



Answer -

x – 2y = 2
x = 2y + 2
Substituting some values of y, we get their corresponding values of x, as shown below
 
Now plot the points on the graph and join them
4x – 2y = 5
4x = 2y + 5
x =  
Substituting some different values of y, we get their corresponding values bf x as shown below
 
Now plot the above points and join them We see that there two lines intersect each other
The system is consistant

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