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determine graphical wheather the pair of linear equations 2x + 3y = 7 , 6x+9y = 21. is consistent (dependent) , consistent (independent) or inconsitent
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determine graphical wheather the pair of linear equations 2x + 3y = 7 ...
2x+3y=7---(1),6x+9y=21---(2),a1/a2=2/6=1/3,b1/b2=3/9=1/3,c1/c2=7/21=1/3,from the above we can say thata1/a2=b1/b2=c1/c2=1/3,so the pair of linear equations are consistent and have infinite number of solutions
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determine graphical wheather the pair of linear equations 2x + 3y = 7 ...
Graphical Analysis of Linear Equations


Equations:


  • 2x + 3y = 7

  • 6x + 9y = 21



Graphical Representation:

Let's represent these equations on a graph:



Analysis:

From the graph, we can see that both lines are parallel, which means they never intersect. Hence, there is no common solution for these equations. Therefore, the pair of linear equations:


  • 2x + 3y = 7

  • 6x + 9y = 21


is inconsistent.


Conclusion:

The pair of linear equations:


  • 2x + 3y = 7

  • 6x + 9y = 21


is inconsistent.
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determine graphical wheather the pair of linear equations 2x + 3y = 7 , 6x+9y = 21. is consistent (dependent) , consistent (independent) or inconsitent Related: Graphical - Linear Equations Part 1?
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