Draw the graph of the pair of equations 2x + y = 4 and 2x – y = 4. Write the vertices of the triangle formed by these lines and the Y - axis, find the area of this triangle?


The given pair of linear equations

2x + y = 4


and 2x-y = 4


Table for line 2x + y = 4


x



0



2





4



0



Points



A



B



and table for line


x



0



2



y



- 4



0



Points



C



B




Graphical representation of both lines.


Here, both lines and Y - axis from a .


Hence, the vertices of a ABC are A (0,4), B(2,0) and C(0,- 4).


Required area of ABC Area of


ABC = sq. units.


Hence, the required area of the triangle is 8 sq units.


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