Question

Solve the equations graphically. 2x+y=2 , 2y-x=4. Also find the area of a triangle formed by the these lines

Answer 1

just 2 lines cant form triangle

Answer 2

Answer:

Step-by-step explanation:

Given : Equation 1 -

Equation 2 -

Equation 3-

Solve the equation graphically and find the area of the triangle formed.

Solution : The solution graphically is attached in which equation 1,2 and 3 form the triangle by points (0,2),(-4,0),(1,0) and shaded region represent the triangle formed.

Now, to find area of triangle we need base and height.

From graphically we see that the height of triangle is (0,2)=2 unit and base is (1-(-4))=5 unit.

Area of triangle

where b is the base and h is the height,

Therefore, Area of triangle is 5 square unit.