Question

solve graphically linear equations 2x+y=6,x- 2y=-2​

Answer 1

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 =21×5units×2units

=5 sq. units

Answer 2

Step-by-step explanation:

2x+y=6,x-2y=-2

2x+y=6+x-2y=-2

2x+x=-2y-y=-2-6

3x=-3y=-8