Question

question
complete the sentence based on the equation shown below.
$9x - 3 = hx - 6$
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 $x$s on either side of the equation and
\quad.

Explanation:

Step1: Rearrange the equation

$9x - hx = -6 + 3$

Step2: Factor out x

$x(9 - h) = -3$

Step3: Analyze for one solution

For a unique $x$, $9 - h
eq 0$, so $h
eq 9$. The equation has one solution when the coefficients of $x$ on each side are **different** (so we can isolate $x$).

Answer:

This equation will have one solution when $h
eq 9$ because you get one solution when you have a different number of $x$'s on either side of the equation and the resulting constant terms create a solvable single value for $x$.