Solve the following pair of linear equations graphically x+3y=6,2x-3y=12 also shade the region bounded by the line 2x-3y=12 and both the co-ordinate axes

Question

Find the area of the region bounded by the two lines representing the above equations \( Y \)-axis. 19. Solve the following pair of linear equations graphically : \[ x+3 y=6,2 x-3 y=12 \] Also shade the region bounded by the line \( 2 x-3 y=12 \) and both the co-ordinate axes.

Answer 1

To draw line x + 3y = 6, we have

x	0	6	3	-3
y	2	0	1	3

To draw line 2x - 3y = 12, we have

x	0	6	3	-3
y	-4	0	-2	-6

 

Both lines intersect at point (6, 0).

Hence, the solution of given system of equations is x = 6, y = 0.