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eimsori [14]
3 years ago
5

Calculate 2(4x+3)/5 - 6(x-2)/2 = 1/2

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0
( 8x + 6 ) / 5 - ( 6x - 12 ) / 2 = 1 / 2 ;
( 16x + 12 ) / 10 - ( 30x - 60 ) / 10 = 5 / 10 ;
16x + 12 - 30x + 60 = 5 ;
- 14x + 72 = 5 ;
- 14x = - 67 ;
x = 67 / 14 = 4.78 ;
siniylev [52]3 years ago
6 0
Multiply both sdies by 10 to get rid of the fractions
20(4x+3)/5-60(x-2)/2=5
4(4x+3)-30(x-2)=5
distribute
16x+12-30x+60=5
add like terms
-14x+72=5
subtract 72 from both sdies
-14x=-67
multiplyh -1
14x=67
divide both sdies by 14
x=67/14
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-3/v=-6 simply as much as possible
Aleksandr [31]
Hey!


In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

<em>Original Equation :</em>
\frac{-3}{v} = -6

<em>New Equation {Added Multiply Both Sides by V} :</em>
\frac{-3}{v} v=-6v

<em>Solution {New Equation Solved} :</em>
-3 = -6v

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

<em>Old Equation :</em>
-3 = -6v

<em>New Equation {Switched} :</em>
-6v=-3

Now we'll divide both sides by v to get v on its own.

<em>Old Equation :</em>
-6v = -3

<em>New Equation {Added Divide Both Sides by V} :</em>
\frac{-6v}{v} = \frac{-3}{v}

<em>Solution {New Equation Solved} :</em>
v =  \frac{1}{2}

<em>So, this means that in the equation \frac{-3}{v} =-6,</em>  v =  \frac{1}{2}.

Hope this helps!


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