Question

find the area of the triangle bounded by the lines 7x=2y+11, 3x=-2y+19 and y=x-3​

Answer 1

Answer:

50 sq.units

Step-by-step explanation:

Given Equations;

a) 7x-2y-11 = 0

b) 3x+2y-19 = 0

c) x-y-3 = 0

Area of triangle formed by three linear equations of form ax+by+c=0, can be determined by DETERMINANT METHOD as;

∆ =

$\frac{1}{2} ( - 175 + 20 + 55) \\ = - 50$

and area is always taken as positive so the required answer is 50sq. units.