Question

Write an experiment

To verify the condition for consistency of a system of linear equation in Two variable by graphical method ​

Answer 1

Given :  x+y=7 and x-y=1.

To Find : Consistent or not  

Solution:

x + y = 7

x - y  =  1

x          y ( x + y = 7)        y (x - y ) = 1

-2               9                      -3

-1                8                       -2

0                 7                       -1

1                  6                       0  

2                  5                      1

3                   4                      2

4                    3                     3

5                   2                      4

6                    1                      5

7                     0                     7

unique solution exist

x = 4 , y = 3

Hence consistent

Lines parallel - Inconsistent no solution

Line same - consistent Infinite solution

Lines intersect - Consistent unique solution

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Answer 2

Answer:

The condition for consistency of a system of linear equation in Two variables by graphical method.

Step-by-step explanation:

If both the lines intersect at a point, then there is a special solution to the pair of linear equations. In such a case, the pair of linear equations exists said to be consistent.

To Find: whether the condition is Consistent or not  

Let, $x+y=7$ and $x-y=1$ be the two conditions, then

$x$          $y ( x + y = 7)$       $y (x - y ) = 1$

-2                9                       -3

-1                 8                       -2

 0                  7                      -1

 1                  6                        0  

 2                  5                       1

 3                  4                       2

 4                  3                       3

 5                  2                       4

 6                   1                       5

 7                    0                      7

Therefore, there exists a unique solution

x = 4 , y = 3

Hence consistent

Lines parallel - Inconsistent no solution

Line same - consistent Infinite solution

Lines intersect - Consistent unique solution

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