Question

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 1

Answer:

$x=\dfrac{y}{a}+\dfrac{b}{a}$

Step-by-step explanation:

The height y of an angled ladder, x ft from its base is given by the formula

$y=ax-b$

To find the formula for x in terms of y, first express ax:

$ax-b=y\\ \\ax=y+b$

If $a\neq 0,$ divide the previous equation by a:

$\dfrac{ax}{a}=\dfrac{y+b}{a}\\ \\x=\dfrac{y}{a}+\dfrac{b}{a}$