Solve the following pair of linear equations graphically and shade the region bounded by these lines and y – axis. Also find the area of the shaded region.
x + 2y — 7 = 0
2x — y — 4 = 0
The given equation is
x + 2y = 7
and 2x – y = 4
Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.
Table for 
Now, table for 
Here, the lines are intersecting at a point C (
).
The coordinates of the vertices of 
are C(
),B(0, 
) and E(0, – 4)
(
)
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