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marysya [2.9K]
3 years ago
7

Inverse operation steps for 19=h/3-8 steps in words

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0
19 + 8 = h/3or h/3 = 27Multiply both sides by 3h = 27*3 = 81
Anestetic [448]3 years ago
6 0
19 = (h/3) - 8 

Quick reminder of all the inverse operations!
Normal Operation -> Inverse Operation

Addition -> Subtraction
Subtraction -> Addition

Multiplication -> Division
Division -> Multiplication

With that out of the way, we can move onto the problem at hand! 
19 = (h/3) - 8

When trying to solve for a variable you must first get the variables expression alone (In this case the expression (h/3)). To do that in this case we must get rid of a 8 which is being subtracted from (h/3). So the inverse operation of subtraction is addition, thus we add 8 on both sides! Like a so...: 

19 + 8 = (h/3) - 8 + 8

The two 8s on the right cancel out, because -8 + 8 = 0. 

19 + 8 = (h/3)

Simplify the right side by adding together 19 and 8. 

27 = (h/3)

Now we need to get h alone by removing the 3 which it is being divided by. So we use the inverse operation of division which is multiplication. 

27 * 3 = (h/3) * 3

The 3s on the right cancel out, because 1/3 * 3 = 1. 

27 * 3 = h

81 = h 

So! Our final answer is....
h =  81
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6 0
3 years ago
What is the solution of |x- 5|-2=10?
Lelu [443]

Answer:

x=17, x=-7

Step-by-step explanation:

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |x-5|-2 = 10  

Another term is moved / added to the right hand side.

     |x-5| = 12  

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)  

For the Positive case we'll use (x-5)  

Step  3  :

Solve the Negative Case

     -(x-5) = 12  

    Multiply

     -x+5 = 12  

    Rearrange and Add up

     -x = 7  

    Multiply both sides by (-1)

     x = -7  

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

     (x-5) = 12  

    Rearrange and Add up

     x = 17  

    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

x=-7

x=17

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