Straight Line Question 57
Question: The solution of equations $ x+y=10,2x+y=18 $ and $ 4x-3y=26 $ will be[DCE 2005]
Options:
A)Only one solution
B)No Solution
C)Infinite solution
D)None of these
Correct Answer: AShow Answer
Answer:
Solution:
$ x+y=10 $.....(i) $ 2x+y=18 $ .....(ii) and $ 4x-3y=26 $ .....(iii) are equations of three lines respectively Solving of equation (i) and (ii), we get $ x=8 $ and $ y=2 $ Put the values of x and y in equation (iii), L.H.S $ =4x-2y $ $ =4\times 8-3\times 2 $ $ =32-6 $ = 26 = R.H.S.