Q. 5

# The path of highway number 1 and 2 are given by the equations x — y = 1 and 2x + 3y = 12 respectively. Represent these equations geometrically.

The given equation is

x – y = 1

and

2x + 3y = 12

Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.

Table for x – y = 1 or y = x – 1

Now, table for 2x + 3y = 12

From the graph, it is clear that lines represented by the equations x – y = 1 and 2x + 3y – 12 = 0 are intersecting at a point A i.e. (3,2)

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