Solve the following system of linear equations graphically :
3x+y-12=0 , x -3y+6 =0. Also find the coordinates of the points where the
lines meet the x axis .
Answers
Answered by
93
Answer:
x = 3 and y = 3.
Step-by-step explanation:
Given :
3 x + y - 12 = 0
3 x = 12 - y ... ( i )
x - 3 y + 6 = 0.
Multiply it by 3 we get
3 x - 9 y + 18 = 0
3 x = 9 y - 18 ... ( ii )
From ( i ) and ( ii ) we have
12 - y = 9 y - 18
9 y + y = 12 + 18
10 y = 30
y = 3
Now put y = 3 in ( i )
3 x = 12 - y
3 x = 12 - 3
3 x = 9
x = 3
Now we have x = 3 and y = 3.
Thus we coordinate point meet at ( 3 , 3 ) .
For x - axis at 3 and for y - axis also at 3.
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Answered by
40
Olaa!!!(hi)
The solutions for the equation 3x + y -12=0 are
(0,12). (2,6). (4,0)
For x-3y+6=0.
(0,2) (3,3) (6,4)
They meet at the co ordinates-(3,3)
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