Question

2. Represent the pair of linear equations x +2y - 4= 0 and 2x + 4y- 12 = 0 graphically and
comment on solutions.​

Answer 1

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Given pair of Linear Equations are:

x +2y - 4 =0 ……………….(1)

2x +4y -12 = 0…………….(2)

A pair of  linear equations in two variables will be represented by two straight lines taken together.

For two lines in a plane following three possibilities can happen:

1.The two lines representing a pair of  linear equations will intersect at a point.

2. The two lines representing a pair of linear equations will not intersect or  they are parallel to each other.

3. The two lines representing a parallel equations in two variables will be coincident they overlap each other.

•In order to represent the above pair of  linear equation graphically we need two points on the line representing each equation.

• Prepare the proper table of at least 2 solutions for both the equations.

•Draw the graph of both the question on the same graph paper with same scale of  representation.

TABLE AND GRAPH are on the ATTACHMENT.

HOPE THIS WILL HELP YOU.....