Question

if ((3a + 6)/8) - (( 11a - 8) / 24) + (a /3) = (3/4) -(( x + 7)/24), then the value of a is?​

Answer 1

Answer:

3a+6/8-11a-8/24+a/3=3/4-(a+7)/24

3a+6/8-11a-8/24+a/3+a+7/24=3/4

9a+18-11a+8+8a+a+7/24=3/4

18a-11a+33/24=3/4

7a+33/24=3/4

4(7a+33)=72

7a+33=18

7a=18-33

7a=-15

a= -15/7

Answer 2

Concept: An equation could be a statement that shows that 2 mathematical expressions square measure equal. As an example, 3x + five = fourteen is Associate in Nursing equation, within which 3x + five Associates in Nursing fourteen square measure 2 expressions separated by an ‘equal’ sign. The foremost basic and straightforward scientific equations comprises one or additional variables in math.

Given: ((3a + 6)/8) - (( 11a - 8) / 24) + (a /3) = (3/4) -(( a + 7)/24)

Find: Calculate the value of a.

Solution:

((3a + 6)/8) - (( 11a - 8) / 24) + (a /3) = (3/4) -(( a + 7)/24)

[3(3a+6) -(11a-8) +8a]/24= [3×6- (a+7)]/24

9a+18-11a+8+8a= 18-a-7

6a+26= 11-a

7a= -15

a= -15/7

Final answer: a= -15/7

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