Question

question
complete the sentence based on the equation shown below.
$5x - 5 = hx + 4$
answer attempt 1 out of 2
this equation will have one solution when $h = \square$ because you get one solution when you
have $\quad$ number of xs on either side of the equation and
$\quad$.

Explanation:

Step1: Rearrange the equation

$5x - hx = 4 + 5$

Step2: Factor out x

$x(5 - h) = 9$

Step3: Analyze for one solution

For a unique $x$, $5 - h
eq 0$, so $h
eq 5$.

Answer:

This equation will have one solution when $h = \boldsymbol{\text{any real number except 5}}$ because you get one solution when you have a different number of x's on either side of the equation and a valid non-zero coefficient for x (allowing solving for x).