Solve the equation and also check your results:(3a-2)/3 + (2a+3)/2 =

1.	Solve the equation and also check your results:(3a-2)/3 + (2a+3)/2 = a + 7/6
Answer» (3a-2)/3 + (2a+3)/2 = a + 7/6 Let us rearrange the equation (3a-2)/3 + (2a+3)/2 – a = 7/6 By taking LCM for 2 and 3 which is 6 ((3a-2)2 + (2a+3)3 – 6a)/6 = 7/6 (6a – 4 + 6a + 9 – 6a)/6 = 7/6 (6a + 5)/6 = 7/6 6a + 5 = 7 6a = 7-5 6a = 2 a = 2/6 a = 1/3 Let us verify the given equation now, (3a-2)/3 + (2a+3)/2 = a + 7/6 By substituting the value of ‘a’ we get, (3(1/3)-2)/3 + (2(1/3) + 3)/2 = 1/3 + 7/6 (1-2)/3 + (2/3 + 3)/2 = (2+7)/6 -1/3 + (11/3)/2 = 9/6 -1/3 + 11/6 = 3/2 (-2+11)/6 = 3/2 9/6 = 3/2 3/2 = 3/2 Hence, the given equation is verified.

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

Answer»

(3a-2)/3 + (2a+3)/2 = a + 7/6

Let us rearrange the equation

(3a-2)/3 + (2a+3)/2 – a = 7/6

By taking LCM for 2 and 3 which is 6

((3a-2)2 + (2a+3)3 – 6a)/6 = 7/6

(6a – 4 + 6a + 9 – 6a)/6 = 7/6

(6a + 5)/6 = 7/6

6a + 5 = 7

6a = 7-5

6a = 2

a = 2/6

a = 1/3

Let us verify the given equation now,

(3a-2)/3 + (2a+3)/2 = a + 7/6

By substituting the value of ‘a’ we get,

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

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

-1/3 + (11/3)/2 = 9/6

-1/3 + 11/6 = 3/2

(-2+11)/6 = 3/2

9/6 = 3/2

3/2 = 3/2

Hence, the given equation is verified.