Q16 of 186 Page 3

Solve the following system of linear equations graphically. Also shade the region bounded by the lines and y – axis.

x — y = 1


2x + y = 8

The given equation is


x – y = 1


and 2x + y = 8


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


Table for x – y = 1 or y = x – 1



Now, table for 2x + y = 8 or y = 8 – 2x




Here, the lines are intersecting at point C(3, 2).


More from this chapter

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15

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

 16

Solve the following system of linear equations graphically. Also shade the region bounded by the lines and y – axis.

4x — y = 4


3x + 2y = 14

 17

Solve the following system of linear equations graphically:

5x — 6y + 30 = 0; 5x + 4y — 20 = 0


Also find the vertices of the triangle formed by the two lines and x – axis.

 18

Draw the graphs of the equations 3x — y + 9 = 0 and 3x + 4y — 6 = 0.

Also determine the vertices of the triangle formed by the lines and the x – axis.