Q. 5 A5.0( 2 Votes )

# Tathagata has written a linear equation in two variables x + y = 5. I write another linear equation in two variables, so that, the graphs of two equations will be

parallel to each other

Answer :

x + y = 5 …(1)

Let us express the equations (1) in the form of

a_{1}x + b_{1}y + c_{1} = 0 where a and b can’t be 0 at the same time.

Let the required equation be a_{2}x + b_{2}y + c_{2} = 0

x + y = 5

∴ x + y + (-5) = 0

Or 1 × x + 1 × y + (-5) = 0

Here a_{1} = 1, b_{1} = 1, c_{1} = -5

For lines of equation to be parallel in the graph, we need

Let and where k_{1} and k_{2} are any real number and k_{1}≠k_{2} also both are non zero.

For simplicity, take k_{1} = 0.5 and k_{2} = 0.2

So, ,

and

Therefore, required equation is 2x + 2y – 25 = 0 which will be parallel in the graph with equation x + y = 5

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