How do I rewrite so that y is a function of x? 28 = 6x - 4y

7 Answers

labellavita89's profile pic

labellavita89 | High School Teacher | (Level 1) Adjunct Educator

Posted on

28 = 6x - 4y

To rewrite the equation so that y is a function of x, we have to get y by itself.

Step 1: Move the x term to the other side

To move the x term to the other side we have to subtract it. 6x is positive and subtraction is the opposite of addition. What we do to one side we have to do to the other to keep both sides even. 

            `28-6x = 6x-4y-6x`

             `28-6x = -4y`

Step 2: Move the number connected to the y term

The -4 is being multiplied by y, so to get rid of it we have to do the opposite operation which is division. We have to divide both sides and all terms by -4.

               `(28/-4)-((6x)/-4) = ((-4y)/-4)`

                `-7+3/2 x =y`



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lemjay | High School Teacher | (Level 3) Senior Educator

Posted on


To show that y is a function of x,  the y should be isolated. So move the 6x to the other side of the equation.

`28-6x=6x - 6x - 4y`

`28- 6x = 0 - 4y`


And, divide both sides by -4.


`28/(-4)-(6x)/(-4) = y`

`-7 + (3x)/2=y`


Re-writing the given equation as y a function of x, it becomes  `y =(3x)/2 - 7` .

lucasting's profile pic

lucasting | eNotes Newbie

Posted on

Bring variable y to one side,

`4y = 6x - 28`

Divide both sides to make variable y alone,

`y =(6x - 28)/(4)`

Further simplify the equation, we get

`y =(3x)/(2) - 7`

kspcr111's profile picture

kspcr111 | In Training Educator

Posted on

Given ,

28 = 6x - 4y

As all the coefficients  are even numbers ,so they are divisible by 2 . By dividing with 2 we get

14 =3x-2y

=> Again divide the present equation by 2 so we get

7=(3/2) x-y

=> 7+y= (3/2) x

=> now we can rewrite the above equation as

y= (3/2) x -7

simple :)

keunyoungko's profile pic

keunyoungko | Student, Grade 10 | eNotes Newbie

Posted on

Original equation: 28 = 6x - 4y

1) Put the variable on one side, and the others on the other:

    4y = 6x - 28

2) Divide by 4:

    y = (6x - 28)/4

3) Simplify:

    y = 3x/2 - 7

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Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

Rewriting an equation so that y is a function of x is the same as saying "find y in terms of x". You want to essentially solve for y. 

First rewrite so that all the y terms are on one side. 

4y = 6x - 28

Then solve for y. 

`y = (6x)/4 - 28/4`

`y = (3x)/2 - 7`

` `