Solve the equation and also check your results:(6x+1)/2 + 1 = (7x-3)/

1.	Solve the equation and also check your results:(6x+1)/2 + 1 = (7x-3)/3
Answer» (6x+1)/2 + 1 = (7x-3)/3 (6x + 1 + 2)/2 = (7x – 3)/3 By cross-multiplying (6x + 3)3 = (7x – 3)2 18x + 9 = 14x – 6 18x – 14x = -6 – 9 4x = -15 x = -15/4 Let us verify the given equation now, (6x+1)/2 + 1 = (7x-3)/3 By substituting the value of ‘x’ we get, (6(-15/4) + 1)/2 + 1 = (7(-15/4) – 3)/3 (3(-15/2) + 1)/2 + 1 = (-105/4 -3)/3 (-45/2 + 1)/2 + 1 = (-117/4)/3 (-43/4) + 1 = -117/12 (-43+4)/4 = -39/4 -39/4 = -39/4 Hence, the given equation is verified.

Solve the equation and also check your results:(6x+1)/2 + 1 = (7x-3)/3

Answer»

(6x+1)/2 + 1 = (7x-3)/3

(6x + 1 + 2)/2 = (7x – 3)/3

By cross-multiplying

(6x + 3)3 = (7x – 3)2

18x + 9 = 14x – 6

18x – 14x = -6 – 9

4x = -15

x = -15/4

Let us verify the given equation now,

(6x+1)/2 + 1 = (7x-3)/3

By substituting the value of ‘x’ we get,

(6(-15/4) + 1)/2 + 1 = (7(-15/4) – 3)/3

(3(-15/2) + 1)/2 + 1 = (-105/4 -3)/3

(-45/2 + 1)/2 + 1 = (-117/4)/3

(-43/4) + 1 = -117/12

(-43+4)/4 = -39/4

-39/4 = -39/4

Hence, the given equation is verified.