Solve the equation. Also, verify the result.(3/4) (x -1) = (x – 3)

1.	Solve the equation. Also, verify the result.(3/4) (x -1) = (x – 3)
Answer» Given (3/4) (x -1) = (x – 3) On simplifying the brackets both sides we get, (3/4) x – (3/4) = (x – 3) Now transposing (3/4) to RHS and (x – 3) to LHs (3/4) x – x = (3/4) – 3 (3x – 4x)/4 = (3 – 12)/4 -x/4 = (-9/4) Multiply both sides by -4 we get -x/4 × -4 = (-9/4) × -4 x = 9 Verification: Substituting x = 9 in the given equation: (3/4) (9 – 1) = (9 -3) (3/4) (8) = 6 3 × 2 = 6 6 = 6 Thus LHS = RHS Hence, verified.

Answer»

Given (3/4) (x -1) = (x – 3)

On simplifying the brackets both sides we get,

(3/4) x – (3/4) = (x – 3)

Now transposing (3/4) to RHS and (x – 3) to LHs

(3/4) x – x = (3/4) – 3

(3x – 4x)/4 = (3 – 12)/4

-x/4 = (-9/4)

Multiply both sides by -4 we get

-x/4 × -4 = (-9/4) × -4

x = 9

Verification:

Substituting x = 9 in the given equation:

(3/4) (9 – 1) = (9 -3)

(3/4) (8) = 6

3 × 2 = 6

6 = 6

Thus LHS = RHS

Hence, verified.

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