What is x given that (x - i)/(x - 3) = 4

4 Answers | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The equation `(x - i)/(x - 3) = 4` has to be solved.

`(x - i)/(x - 3) = 4`

=> x - i = 4*(x - 3)

=> x - i = 4x - 12

=> 3x = 12 - i

=> `x = 4 - i/3`

The solution of the equation is `x = 4 - i/3`

givingiswinning's profile pic

givingiswinning | Student, Grade 10 | (Level 1) Valedictorian

Posted on

 (x - i)/(x - 3) = 4

x - i = 4 (x - 3)

x - i = 4x - 12

x-4x = -12 - i

-3x = -12 - i

divide by -3

4- i/3

taangerine's profile pic

taangerine | Student, Grade 12 | (Level 1) Valedictorian

Posted on

`(x-i)/(x-3) =4`

To cancel the fraction multiply, (x-3) on both sides. 

  • x - i = 4 (x - 3)

Distribute the 4.

  • x - i = 4x - 12

Combine like terms (I moved the variables to one side & the numbers to the other side). 

  • x-4x = -12 - i

Simplify.

  • -3x = -12 - i

Isolate x. Since '-3x' is multiplication, what is the opposite operation? (Division)--divide by -3 on both sides. 

x=`(-12-i)/-3`

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

 (x - i)/(x - 3) = 4

multiply by x-3 to cancel the fraction

x - i = 4 (x - 3)

distribute the 4 to x and -3

x - i = 4x - 12

now move like terms to the same side:

x-4x = -12 - i

-3x = -12 - i

divide by -3

`x = 4 - i/3`

We’ve answered 318,915 questions. We can answer yours, too.

Ask a question