Solve the equation and also check your results:1/2x + 7x – 6 = 7x +

1.	Solve the equation and also check your results:1/2x + 7x – 6 = 7x + 1/4
Answer» 1/2x + 7x – 6 = 7x + 1/4 Let us rearrange the equation 1/2x + 7x – 7x = 1/4 + 6 (by taking LCM) 1/2x = (1+ 24)/4 1/2x = 25/4 By cross-multiplying 4x = 25 × 2 4x = 50 x = 50/4 x = 25/2 Let us verify the given equation now, 1/2x + 7x – 6 = 7x + 1/4 By substituting the value of ‘x’ we get, (1/2) (25/2) + 7(25/2) – 6 = 7(25/2) + 1/4 25/4 + 175/2 – 6 = 175/2 + 1/4 By taking LCM for 4 and 2 is 4 (25 + 350 – 24)/4 = (350+1)/4 351/4 = 351/4 Hence, the given equation is verified.

Solve the equation and also check your results:1/2x + 7x – 6 = 7x + 1/4

Answer»

1/2x + 7x – 6 = 7x + 1/4

Let us rearrange the equation

1/2x + 7x – 7x = 1/4 + 6 (by taking LCM)

1/2x = (1+ 24)/4

1/2x = 25/4

By cross-multiplying

4x = 25 × 2

4x = 50

x = 50/4

x = 25/2

Let us verify the given equation now,

1/2x + 7x – 6 = 7x + 1/4

By substituting the value of ‘x’ we get,

(1/2) (25/2) + 7(25/2) – 6 = 7(25/2) + 1/4

25/4 + 175/2 – 6 = 175/2 + 1/4

By taking LCM for 4 and 2 is 4

(25 + 350 – 24)/4 = (350+1)/4

351/4 = 351/4

Hence, the given equation is verified.