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Nature of 2 Straight Lines in a Plane

x + y = 30 an...

Question

$x + y = 30$ and are coincident lines.

A

4 x + 5 y = 150

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B

5 x + 5 y = 150

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C

5 x + 5 y = 15

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Solution

The correct option is B $5 x + 5 y = 150$
When we plot the 2 lines, if we get a single line, then the two lines are coincident lines.
We have the equation $x + y = 30.$
Multiplying both the sides by 5, we get $5 x + 5 y = 150.$
Hence, $x + y = 30$ and $5 x + 5 y = 150$ are coincident lines.

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