Verify the condition for consistency of the following system of linear equations in two variables by graphical method: x+y=7 and x-y=1. *
Answers
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
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Answer:
Answer in attachment.
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