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