The Product of twice a number and six is the same as the difference of 11 times the number and 3/2. what is the number

Question

I really need help with this Problem. i have been stuck on this for some time now and everyone I have asked said they did not know.

Answer 1

Let the number be x.

Twice the number  =  2x

Therefore the product is  =(2x) * 6

which is equal to 12x

 

11 times the number  = 11x

The difference of 11x and 3/2 is  = 11x - 3/2

 

Now equate the two solutions and solve for x

 

12x = 11x - 3/2

 

12x - 11x = 3/2

 

 

x = -  3/2  

 

 

Prove by substituting x in the equation

 12 * -3/2 =  -18

 

11 * (-3/2) - (3/2) =  -(33/2) - 3/2 =  -18

 

THERE YOU GO!

 

 

 

Answer 2

So let's start by setting up our information.

The product of twice the number and six means:

2x * 6

 

We also have eleven times that same number and 3/2, or 1.5, or 11x - 3/2

 

this means our formula looks like:

2x * 6 = 11x - 3/2

 

Our job is to isolate X.

We can simplify the left side with the multiplication:

12x = 11x - 3/2

 

We can now move the 11x over by subtracting it on both sides:

12x -11x = 11x - 3/2 - 11x   giving us:

 

x = -3/2

 

Now to be sure, let's check our answer:

2 * -3/2 * 6  =  11 * -3/2 - 3/2

first, the left side:

2 * -3/2 = -3

-3 * 6 = -18

 

Now the right side:

11* -3/2 = -33/2

-33/2 - 3/2 = -36/2

-36 / 2 = -18

 

-18 = -18

 

So -3/2 is correct.