Question

solve the following system of linear equation graphically 2x + y equal to 6 x minus 2 y + 2 equal to zero find the vertices of the triangle formed by the above two line and the x axis also find the area of the triangle.
the answer should be right.​

Answer 1

Answer:

The correct answer is 5 sq. units

Step-by-step explanation:

2x+y=6

⟹y=6−2x

Let, x=1, then y=6−2(1)=4

Similarly, when x=2,y=2

x−2y+2=0

⟹x=2y−2

Let, y=0, then x=2(0)−2=−2

Similarly, when y=2,x=2

Plotting the above points on the graph, we get, the vertices of the traingle, i.e.

A(2,3),B(3,0),C(−2,0)

∴ Area of the triangle = 1/2 × 5units × 2units

=5 sq. units