Solve the equation (1/2)x- 3 = 5 + (1/3)x. Check your result.

1.	Solve the equation (1/2)x- 3 = 5 + (1/3)x. Check your result.
Answer» Now, find the value of x by considering the given equation,= (1/2)x- 3 = 5 + (1/3)x Transposing -3 to RHS and it becomes 3 and (1/3)x to LHS it becomes (-1/3)x = (1/2)x – (1/3)x = 5 + 3 = ((3-2)/6)x = 8 = (1/6)x = 8 Multiplying both side by 6 = 6 × (1/6)x = 8 × 6 = x = 48 By substituting 48 in the place of x in given equation, we get LHS, = (1/2) × (48) – 3 = (48/2) – 3 = 24 – 3 = 21 RHS, = 5 + (1/3) × (48) = 5 + (48/3) = 5 + 16 = 21 By comparing LHS and RHS = 21 = 21 ∴ LHS = RHS Hence, the result is verified.

Answer»

Now, find the value of x by considering the given equation,= (1/2)x- 3 = 5 + (1/3)x

Transposing -3 to RHS and it becomes 3 and (1/3)x to LHS it becomes (-1/3)x

= (1/2)x – (1/3)x = 5 + 3

= ((3-2)/6)x = 8

= (1/6)x = 8

Multiplying both side by 6

= 6 × (1/6)x = 8 × 6

= x = 48

By substituting 48 in the place of x in given equation, we get

LHS,

= (1/2) × (48) – 3

= (48/2) – 3

= 24 – 3

= 21

RHS,

= 5 + (1/3) × (48)

= 5 + (48/3)

= 5 + 16

= 21

By comparing LHS and RHS

= 21 = 21

∴ LHS = RHS

Hence, the result is verified.

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