Question

2r-5/4 = 58 I don’t understand what to do next

Answer 1

Answer:

r = 118.5

Explanation:

Given expression:

$\sf \dfrac{2r-5}{4} = 58$

Multiply Both sides by 4

$\sf \dfrac{2r-5}{4} \times 4 = 58\times 4$

Doing so gives:

$\sf 2r-5 = 232$

Add 5 on both sides

$\sf 2r-5+5 = 232 + 5$

Simplify following

$\sf 2r = 237$

Dividing Both sides by 2

$\sf r = 118.5$

Answer 2

Hi

The aim of an equation is  to have  the letter on one side and a value to the pther side of the equal sign.  

For achieving this goal, I can use all operation I know and all quantities I want as long as I do it to each side in the same time. I will make apparent operation in bold.

So :  

2r - 5/4 = 58

if I want 2r  to be alone,  I need to get rid  of  -5/4  

The best way to do that is to add  5/4 to each side as  -5/4 + 5/4 = 0

so

2r -5/4 +5/4  = 58 +5/4

2r +0  = 58 +5/4

now we have :  

2r = 58+5/4

I will caculate the value of  58 +5/4

best way to do that is to convert 58 into  a  fraction .  as 58 *4 = 232  so  58 = 232/4

so now  we  have  :

2r = 232/4 +5/4

2r =  237/4

2r = 59.25

Now we have " 2r " , but my  aim is to have only one " r" .  So we  divide by "2" on each side :

2r /2  =  59.25 /2

r =29.625

If I want to check my result, I exchange the letter by the value I found.  

2 ( 29.625 )  - 5/4 =   59.25 - 5/4  =  59.25 - 1.25 =  58

as 58 is  the value given in line one for   2r - 5/4  , so my result is correct.