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Mathematics

Ten Standard >> Graph of straight lines of linear equations in two variables | Part -2

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Example 1: Draw the graph of the equations x-2y=9 and 6y=3x+21

Solution: 
   x-2y=9
\(\Rightarrow \) 2y=x-9
\(\Rightarrow \) y=\(\frac{x-9}{2} \)...(1)

   6y=3x+21
\(\Rightarrow \) y=\(\frac{3x+21}{6} \)...(2)

 from relation (1),

x 1 3 5
y -4 -3 -2

So from relation (1) we get points (1, -4), (3, -3), and  (5, -2)

from relation (2),

x 1 3 5
y 4 5 6

So from equation (1) we get points (1, 4), (3, 5), and  (5, 6)

Look at the image above. Since lines are parallel, the system has no solution. It is inconsistent.

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