2x+y–6=0, 4x–2y–4=0 chapter-3 exercise 3.1-Q4 (iii)

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4. Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:

(iii) 2x+y–6=0, 4x–2y–4=0

   2x+y–6=0 ----------(1)

   4x-2y–4=0 ---------(2)

   a1/a2 = 2/4,  b1/b2 = 1/-2 

   c1/c2 = -6/-4 = 2/3

   from the above we can say

     a1/a2 ≠ b1/b2

   above formula belongs to interest lines

   intersect lines are consistent

   Graphically Solving

     2x + y – 6 = 0

        y = 6-2x

           6-2(1)=6-2=4

           6-2(2)=6-4=2

           6-2(3)=6-6=0


Table 
x 1 2 3
y=(10-2x)/2     4    2      0
(x,y)   (1,4)   (2,2)    (3,0)

4x - 2y – 4 = 0
4x - 4 = 2y
y = (4x-4)/2
y = (4(1)-4)/2=4-4/2=0
y = (4(2)-4)/2=8-4/2=4/2=2
y = (4(3)-4)/2=12-4/2=8/2=4


Table
x   1 2 3
y=(4x-4)/2        0    2    4
(x,y)          (1,0)   (2,2)   (3,4)

Post details

CBSE Class 10 Maths / NCERT 10 Class Maths
Chapter Name : Pair of Linear Equations in Two Variables
Chapter 3
ex 3.1 q4.(ii)

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