please answer this question in trial and error method
Answers
Answer:
3
Step-by-step explanation:
(2m/3)-1=1
(2/m)=2
m/3=1
m=3
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Answer:
Step-by-step explanation:
By the trial and error method,
Let us assume m = 0
∴ 2m/3 -1 =1
=
⇒ 2×0/3 -1 =1
⇒0/3-1=1
⇒0/3-3/3=1
⇒-3/3=1
⇒-1≠ 1
∴ m is≠0
Let us assume m = 1
So,
⇒2m/3 -1= 1
⇒2×1/3 -1 =1
⇒2/3 -1 =1
⇒2/3 -3/3 =1 ( after taking the LCM)
⇒-1/3 ≠ 1
∴m ≠ 1
Let us assume m = -1
So,
⇒2m/3 -1 = 1
⇒2×-1/3 -1 = 1
⇒-2/3 -1 = 1
⇒-2/3 -3/3 =1 ( after taking LCM )
⇒-5/3 ≠ 1
∴ m ≠ -1
Let us assume m = 2
So,
⇒2m/3 -1 = 1
⇒2×2/3 -1 = 1
⇒ 4/3 -1 =1
⇒4/3 - 3/3 = 1 (after taking the LCM)
⇒1/3 ≠ 1
∴ m ≠ 2
Let us assume m = -2
So,
⇒2m/3 -1 = 1
⇒2× -2/3 -1 =1
⇒-4/3 -1 =1
⇒-4/3 -3/3 = 1 ( after taking the LCM )
⇒-7/3≠1
∴ m ≠ -2
Let us assume m =3
So,
⇒2m/3 - 1 = 1
⇒2 ×3/3 - 1 = 1
⇒ 6/3 - 1 = 1
⇒6/3 -3/3= 1 ( after taking the LCM)
⇒3/3 = 1
⇒1 = 1
∴ LHS =RHS
∴ m = 3
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