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

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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`

                `y=3/2x-7`

               

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

`28=6x-4y`

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`

`28-6x=-4y`

And, divide both sides by -4.

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

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

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

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

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

Approved by eNotes Editorial Team