Solve the equations and check your answers:5 (2 – 3x) -17 (2x -5) =

1.	Solve the equations and check your answers:5 (2 – 3x) -17 (2x -5) = 16
Answer» Given 5 (2 – 3x) -17 (2x – 5) = 16 On expanding the brackets, we get (5 × 2) – (5 × 3x) – (17 × 2x) + (17 × 5) = 16 10 – 15x – 34x + 85 = 16 10 + 85 – 34x – 15x = 16 95 – 49x = 16 Subtracting 95 from both sides, we get – 49x + 95 – 95 = 16 – 95 – 49x = -79 Dividing both sides by – 49, we get – 49x/ -49 = -79/-49 x = 79/49 Verification: Substituting x = (79/49) in LHS we get, 5 (2 – 3 × (79/49) – 17 (2 × (79/49) – 5) = 16 (5 × 2) – (5 × 3 × (79/49)) – (17 × 2 × (79/49)) + (17 × 5) = 16 10 – (1185/49) – (2686/49) + 85 = 16 (490 – 1185 – 2686 + 4165)/49 = 16 784/49 = 16 16 = 16 Therefore LHS = RHS Hence, verified.

Solve the equations and check your answers:5 (2 – 3x) -17 (2x -5) = 16

Answer»

Given 5 (2 – 3x) -17 (2x – 5) = 16

On expanding the brackets, we get

(5 × 2) – (5 × 3x) – (17 × 2x) + (17 × 5) = 16

10 – 15x – 34x + 85 = 16

10 + 85 – 34x – 15x = 16

95 – 49x = 16

Subtracting 95 from both sides, we get

– 49x + 95 – 95 = 16 – 95

– 49x = -79

Dividing both sides by – 49, we get

– 49x/ -49 = -79/-49

x = 79/49

Verification:

Substituting x = (79/49) in LHS we get,

5 (2 – 3 × (79/49) – 17 (2 × (79/49) – 5) = 16

(5 × 2) – (5 × 3 × (79/49)) – (17 × 2 × (79/49)) + (17 × 5) = 16

10 – (1185/49) – (2686/49) + 85 = 16

(490 – 1185 – 2686 + 4165)/49 = 16

784/49 = 16

16 = 16

Therefore LHS = RHS

Hence, verified.