i dont know how to solve the equation

Question

3/10x=13-x

Answer 1

Ash,

 

First, I would rewrite with all terms with x on the left side:

 

x + (3/10)·x = 13

 

Combining x gives

 

(13/10)·x = 13

 

multiply both sides by 10:

 

13·x = 130

 

finally divide both sides by 13:

 

x = 10

 

Answer 2

Ash:

 

Your equation is 3/10x=13-x.

Multiply both sides by 10x.

3 = 10x(13-x) = 130x - 10x²

Write it as 10x² - 130x + 3 = 0

This is a quadratic equation whose roots are given by 130 plus minus sqrt[130² - 4(10)(3)] / 2(10).

 

Answer depends upon whether you read 3/10x as (3/10)x  OR 3/((10x).

 

Dattaprabhakar (Dr. G.)

Answer 3

I believe the first term is (3/10)x vice 3/10x, so the problem is:

 

(3/10)x = 13 - x

 

Add x to both sides:

 

(3/10)x + x = 13

 

Combine like terms:

 

(13/10)x = 13

 

Multiply both sides by 10/13:

 

x = 10

 

 

Answer 4

3/10x = 13 - x    multiply by 10x

 

3 = 130x -10x²      move all terms to the left side

 

10x² - 130x + 3 = 0        use quadratic formula to solve for x

 

x = 130 ± √[16900 - 4(10)(3)]

               2(10)

 

x = 130 ± 2√4195

             20

 

x = 65 ± √4195

           10