Question

2r-5/4 = 58

I don’t understand what to do next

Answer 1

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.

Answer 2

r = 118.5

Step-by-step explanation:

Given expression:

`\sf (2r-5)/(4) = 58`

Multiply Both sides by 4

`\sf (2r-5)/(4) * 4 = 58* 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`