x+y=0 এবং 2x-y+3=0 সরলরেখা দুটি কোন বিন্দুতে ছেদ করে?

A    (-1/3; 1/3)

B    (1;-1)

C    (1/3; 1/3)

D    (-1;1) 

Solution

Correct Answer: Option D

 

the two lines must meet at the point where the x and y co-ordinates are same for both the equations 

inorder to solve the equations simultaneously, the substitution method must be applied

therefore from the first equation, we get 

x+y=0

x = -y

substituting this equation in thesecond given equation we get

2(-y)-y+3=0

-2y-y+3=0

-3y+3=0

-3y=-3

y=1

substituting y = 1 in any of the two given equations gives us the  corresponding value of x

x + (1) = 0

x = -1

therefore the point of intersection of the two straight lines is at the cordinates (-1, 1)

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