Question

Assertion: The graph of the pair of lines representing the equations2x + 3y = 9 and 4x + 6y = 18 are parallel.
Reason: The ratios of the coefficients are not equal.

Answer 1

Answer:

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The lines represented by 2X+3y-9=0 and 4X+6y-18=0 are identical straight lines.

SOLUTION:

Given, two lines of equations are 2x + 3y – 9 = 0 and 4x + 6y – 18 = 0

We have to find the relation between those two lines.

As we can see that, the coefficients of both line equations are proportional. i.e.

$\sf\frac{2}{4}=\frac{3}{6}=\frac{-9}{-18} \rightarrow \frac{1}{2}=\frac{1}{2}=\frac{1}{2}$

So, both the given line equations represents the same line.

Hence, both the given line equations are identical straight lines.