y=ax-b gives the height y of an angled ladder, x ft from its base. Find a formula for x in terms of y.

Answer:
[tex]x=\dfrac{y}{a}+\dfrac{b}{a}[/tex]
Step-by-step explanation:
The height y of an angled ladder, x ft from its base is given by the formula
[tex]y=ax-b[/tex]
To find the formula for x in terms of y, first express ax:
[tex]ax-b=y\\ \\ax=y+b[/tex]
If [tex]a\neq 0,[/tex] divide the previous equation by a:
[tex]\dfrac{ax}{a}=\dfrac{y+b}{a}\\ \\x=\dfrac{y}{a}+\dfrac{b}{a}[/tex]