Solve the equations and check your answers:2y – (1/2) = (-1/3)

1.	Solve the equations and check your answers:2y – (1/2) = (-1/3)
Answer» Given 2y – (1/2) = (-1/3) Adding (1/2) from both the sides, we get 2y – (1/2) + (1/2) = (-1/3) + (1/2) 2y = (-1/3) + (1/2) 2y = (-2 + 3)/6 [LCM of 3 and 2 is 6] 2y = (1/6) Now divide both the side by 2, we get y = (1/12) Verification: Substituting y = (1/12) in LHS we get 2 (1/12) – (1/2) = (-1/3) (1/6) – (1/2) = (-1/3) (2 – 6)/12 = (-1/3) [LCM of 6 and 2 is 12] (-4/12) = (-1/3) (-1/3) = (-1/3) Therefore LHS = RHS Hence, verified.

Answer»

Given 2y – (1/2) = (-1/3)

Adding (1/2) from both the sides, we get

2y – (1/2) + (1/2) = (-1/3) + (1/2)

2y = (-1/3) + (1/2)

2y = (-2 + 3)/6 [LCM of 3 and 2 is 6]

2y = (1/6)

Now divide both the side by 2, we get

y = (1/12)

Verification:

Substituting y = (1/12) in LHS we get

2 (1/12) – (1/2) = (-1/3)

(1/6) – (1/2) = (-1/3)

(2 – 6)/12 = (-1/3) [LCM of 6 and 2 is 12]

(-4/12) = (-1/3)

(-1/3) = (-1/3)

Therefore LHS = RHS

Hence, verified.

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