Q. 15 B24.2( 6 Votes )

# 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.3x + y — 11 = 0x — y — 1 = 0

The given equation is

3x + y = 11

and x – y = 1

Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.

Table for 3x + y = 11 or y = 3x – 11 Now, table for x – y = 1or y = x – 1  Here, the lines are intersecting at a point C ( ).

The coordinates of the vertices of are C( ), B(0, 11) and E(0, – 1)  ( )

= 18 sq.units

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