Check Which of the following are solutions of the equation x-2y=4 and which are not.
i. (0,2) ii. (2,0) iii. (4,0) iv. (1,1)
Ans:
i). (0,2)
Putting x=0, and y= 2 in the L.H.S of the give equation,
x-2y=0-2*2=-4 ≠4
L.H.S≠R.H.S
Therefore, (0,2) is not a solution of this equation.
ii. (2,0)
Putting x=2, and y= 0 in the L.H.S of the give equation,
x-2y=2-2*0=2 ≠4
L.H.S≠R.H.S
Therefore, (2,0) is not a solution of this equation.
iii. (4,0)
Putting x=4, and y= 0 in the L.H.S of the give equation,
x-2y=4-2*0=4 =4
L.H.S=R.H.S
Therefore, (4,0) is a solution of this equation.
iv. (1,1)
Putting x=1, and y= 1 in the L.H.S of the give equation,
x-2y=1-2*1=-1≠4
L.H.S≠R.H.S
Therefore, (1,1) is not a solution of this equation.