Question

Solve the following system of linear equations graphically.
3x+y-12=0
x+3y+6=0
Shade the region bounded by the lines and x axis.Find the area of its shaded region.​

Answer 1

Answer:

y =6

x=2

Step-by-step explanation:

3x+y-12=0 == 3x+y=12,

x+3y+6=0 == x+3y=-6,

(3x+y=12) ×1,

(x+3y=-6)×3,

Subtract both the equations,

3x+y=12

3x+6y=-18

------------

- - + ( The signs change while subtracting)

-----------

0x -5y = 30,

y=6

sustitute the valve of y in any equation

3x +6=12,

x=2.