5/3d-3/2=-1/2

Question

Please show me how to solve and what is the mane of this problem

Answer 1

Moving -3/2 to the other side of the equals sign changes the -ve sign to a +ve 3/2

(5/3)d = -1/2+3/2

(5/3)d = 1

d = 1/(5/3) = 3/5

Answer 2

Sorry Benjamin,

You do have a problem at step 3.  5/3(d)  = 1 * 3 does not lead to 5d = 3.

It leads to  5 / d = 3.

Cancelling the 3 on the bottom does not bring the d to the top of the fraction.

Next you would multiply both sides by 1/5.

(1/5) 5 / d = 3 (1/5) which gives:

1 / d =  3 / 5        

Then you are allowed to flip, or to invert both sides to get d, not 1 over d.

d = 5 / 3.

 

Answer 3

Fractions are difficult for most people.  A fraction is essentially a division problem.  This question is relatively easy

(5/3)d-3/2=-1/2

First we must combine like terms; add 3/2 to both sides of the equation.

(5/3)d -3/2 + 3/2= -1/2 +3/2

(5/3)d= 2/2 or (5/3)d=1

now we must eliminate the fraction; we do this by multiplying 3 to both sides.

3(5/3)d= 1(3)

(5)d=3

now divide by 5

5d/5= 3/5

d= 3/5

Check your answer

5/3(3/5)-3/2= -1/2

15/15 -3/2 = -1/2

1-3/2= -1/2 (true)

d= 3/5 is correct.

Answer 4

Multiply both side of the equation with 2 then 2[(5/3d)-(3/2)=(-1/2)]

and you get (10/3d)-3 = -1

rearrange terms to (10/3d)= -1+3 and (10/3d)= 2

cross multiply and you get 6d = 10 and d = 10/6 = 5/3

Check answer by substituting d into the original equation [(5/3)x(3/5)]-(3/2)=(-1/2)

and it becomes 1-(3/2)=(-1/2) and -1/2 = -1/2or -1/2+1/2=0

and the solution checks for d=5/3