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Question -

Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and y-axis calculate the area of the triangle so formed.



Answer -

5x – y = 5
=> y = 5x – 5
Substituting some different values of x, we get their corresponding values of y as shown below:
 
Plot these points on the graph and join them. Similarly in the equation
3x – y = 3
=> y = 3x – 3
 
Now plot these points and join them We see that these two lines intersect each other at (1, 0)

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