Rewrite the equation 5x -6y = 6 as a function of x?

Answer 1

in order to write this equation as a function of x f(x) we have to bring y on one side and x on the other (note, in order for the equation to be a function of x we need to keep an x in the equation.

5x - 6y = 6
5x - 6 = 6y
5x - 6/ 6 = y
let y = f(x)
f(x) = (5x - 6)/6
f(x) = (5x/6) - 1 <-- another way to write the equation

everyone who answered above me is wrong except for mj_, he got it right.

also...function of x means that you only want an x variable in your equation...

added info: if you wanted it to be a function of y, f(y) it would be: f(y) = (6y - 6) / 5

Answer 2

rewriting some thing as a "function of x" ability that could desire to isolate the different variables, as a effect y. this way, if we plugged in a cost of x, we'd get a effect for y. for this reason, -5x - 6y = -12 => -6y = -12 + 5x => y = (-12 + 5x)/(-6) => y = 2 - 5/6x => y = 2 - .eighty 3 x or f(x) = 2 - .83x - y

Answer 3

You first must put the x on the other side of the y. Subtract 5x and the eq become -6y = 6 - 5x. Now divide all by -6. Equal y= -1+ 5/6x. Now rewrite. y= 5/6x -1

Answer 4

y has to be the subject.

6y + 6 = 5x
6y = 5x - 6
y = (5/6)x - 1.

So f(x) = (5/6)x - 1

Answer 5

5x -6y = 6
Add 6y to both terms:
5x -6y+6y = 6+6y
5x=6+6y
Divide both terms by 5
5x/5=(6+6y)/5
x=(6+6y)/5

Answer 6

5x - 6y = 6
5x = 6y + 6
x = (6/5)y + (6/5)

Answer 7

5x-6y=6

5x=6+6y

x = (6+6y) / 5

Answer 8

5x - 6y = 6
5x -6 = 6y
y = (5x - 6)/6 = 5x/6 - 1

Answer 9

f(x) = (6y+6)/5

Answer 10

5x - 6y = 6
6y = 5x - 6
y = (5x - 6)/6

Let y = f(x)

This gives,

f(x) = (5x - 6)/6
f(x) = (5x/6) - 1