Question

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Represent the following systems of equations graphically and comment on solutions:
1 x - 2y = 0
ii) x + y = 2
TI) 2x - y = 4
2x+2y=4
4x - 2y=6
bran​

Answer 1

Answer:

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 =

2

1

×5units×2units

=5 sq. units