Question

question
complete the sentence based on the equation shown below.
$6x - 3 = hx - 6$
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

$6x - hx = -6 + 3$

Step2: Factor out x

$x(6 - h) = -3$

Step3: Analyze for one solution

A linear equation $ax=b$ has one solution when $a
eq0$. Here, $a=6-h$, so $6-h
eq0$ which means $h
eq6$.

Answer:

This equation will have one solution when $h = \boldsymbol{\text{any real number except 6}}$ 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 (resulting in a defined single value for x).