7. In which quadrant does the solution of the system fall?

1 answer:

6 0

From X + Y = 4
Y = 4 - X 
Substituite this for Y in 2X - Y = 2 to get 
2X -(4 - X ) = 2 
2X -4 +X = 2 
3X = 6 
X = 2 
Now return to X + Y = 4 
Knowing X = 2, 
2 + Y = 4 
Y = 4 - 2 
Y = 2 
The solution is (X,Y) = (2,2) 
This is quadrant I 
Answer is A

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