What is the solution of 9y-x-8 equals 0?

Answer 1

There is no single solution to that equation, as it does not represent a single value, but a relationship between the variables x and y. There are different things you can do with it though, depending on what the question relating to it would be.

For example:

Solve for x:

9y - x - 8 = 0

-x = -9y + 8

x = 9y + 8

Solve for y:

9y - x - 8 = 0

9y = x + 8

y = (x + 8) / 9

Find it's rate of change on the x axis with respect to it's rate of change on the y axis:

dx/dy = 9

Find it's rate of change on the x axis with respect to it's rate of change on the y axis:

dy/dx = 1/9

Find it's indefinite integral with respect to x:

∫((x + 8) / 9)dx

= ∫(x/9 + 8/9)dx

= x2/18 + 8x/9 + C

Several more things, but if that doesn't cover what you're looking for, you'll need to be a little more specific in your question.