Answer:
The coordinates of the lines when both lines meets at point is ( 0, 0 )
Step-by-step explanation:
Given as :
The two lines are
x +
y =
And 4 x + y = 4
The coordinate of the lines are obtained when the two lines intersect
Let the coordinate of intersection points are ( x , y )
Now , The first lines as
x +
y =
Or, Taking LCM we get ,
=
Cross multiplication both sides
Or, 3 × ( 4 x + y ) = 2 × 6
Or, 3 × 4 x + 3 × y = 12
Or, 12 x + 3 y = 12 ...........A
Other line is 4 x + y = 4
i.e 3 × ( 4 x + y ) = 3 × 4
or, 12 x + 3 y = 12 .........B
Solving both the line equations
(12 x + 3 y ) - ( 12 x + 3 y ) = 12 - 12
I.e x = 0 and y = 0
So coordinates are ( x , y ) = ( 0 , 0 )
Hence The coordinates of the lines when both lines meets at point is ( 0, 0 ) Answer