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Question -

Draw the graphs of the following equations on the same graph paper :
2x + 3y =12
x – y = 1
Find the co-ordinates of the vertices of the triangle formed by the two straight lines and the y-axis. (C.B.S.E. 2001)



Answer -

2x + 3y = 12
⇒ 2x = 12 – 3y
x =  
Substituting some different values of y, we get corresponding values of x as shown below
 
Now plot the points on the graph and join them. Similarly in the equation
x – y = 1 => x = y + 1
 
Now plot the points on the graph and join them
The required region surrounded by these two lines and y-axis has been shaded as shown

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