Write the equation in function form 6y - 4x = 24

Mathematics

1 answer:

k0ka [10]3 years ago

6 0

Answer:

f(x) = (2/3)x + 4

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6 (divide both sides by 6)

y = 4 + (2/3)x (simplify)

y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")

f(x) = (2/3)x + 4 (replace y with f(x))

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