Solve the equations and check your answers:(x – 3)/5 -2 = -1

1.	Solve the equations and check your answers:(x – 3)/5 -2 = -1
Answer» Given ((x – 3)/5) -2 = -1 Adding 2 to both sides we get, ((x -3)/5) – 2 + 2 = -1 + 2 (x -3)/5 = 1 Multiply both sides by 5 we get (x – 3)/ 5 × 5 = 1 × 5 x – 3 = 5 Now add 3 to both sides we get, x – 3 + 3 = 5 + 3 x = 8 Verification: Substituting x = 8 in LHS we get, ((8 – 3)/5) -2 = -1 (5/5) – 2 = -1 1 -2 = -1 -1 = -1 Therefore LHS = RHS Hence, verified.

Answer»

Given ((x – 3)/5) -2 = -1

Adding 2 to both sides we get,

((x -3)/5) – 2 + 2 = -1 + 2

(x -3)/5 = 1

Multiply both sides by 5 we get

(x – 3)/ 5 × 5 = 1 × 5

x – 3 = 5

Now add 3 to both sides we get,

x – 3 + 3 = 5 + 3

x = 8

Verification:

Substituting x = 8 in LHS we get,

((8 – 3)/5) -2 = -1

(5/5) – 2 = -1

1 -2 = -1

-1 = -1

Therefore LHS = RHS

Hence, verified.

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