Write 8x-9y equals 2 as a function of y?

Answer 1

The question asks for a function of 'y', so we'll show 'x' as a function of 'y':

Given: 8x - 9y = 2

Add 9y to each side:

8x = 2 + 9y

Divide each side by 8:

x = 2/8 + 9y/8
or
x = 1/8 (2 + 9y).

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If the questioner actually wants to see it in the more familiar form of [ y = a function of x ],
we can massage the original equation around to show that as well.

Given: 8x - 9y = 2

Subtract 8x from each side:

-9y = 2 - 8x

Multiply each side by -1:

9y = 8x - 2

Divide each side by 9:

y = 8x/9 - 2/9
or
y = 1/9 (8x - 2)