Trigonometry basic trigonometry equation mathematics

# How do I arrange the equation to make x the subject? Y=ax-b?

- Posted:
- 3+ months ago by Pepper88
- Topics:
- mathematics, equations, subject, trigonometry

## Answers (10)

Fortunately you will not need any knowledge about trigonometry whatsoever in order to solve your problem with this linear function.

y = ax - b | Add b to both sides of the equation

y + b = ax - 0 | Divide both sides of the equation by a

(y + b) / a = 1x - 0, well, this is obviously

(y + b) / a = x

In detail:

-ax = -b - y

x = (-b - y) / -a

x = - (b + y) / -a

x = (b + y) / a

Sorrey, last one is X = (Y + b)/a

For the equation Y= ax - b

We want to isolate the x, so start out by moving the b.

Do this by adding b to both sides of the equation.

Y+b = ax - b + b

-b + b cancel each other out and equal zero, so you are left with:

Y + b = ax

We are still trying to isolate the x, so lets 'target' the 'a' next.

Divide both sides of the equation by 'a'.

So now you have: Y + b = ax

-------- ----

a a

Any number over itself equals 1, so therefore a/a cancels itself out on the right side of the equation, and you are left with:

Y + b = x

--------

a

To isolate "ax" => ax=y-b or -ax=-b-y