Question

complete the sentence based on the equation shown below.
$x - 7 = x + h$
answer attempt 1 out of 2
this equation will have zero solutions when $h = \square$ because you get zero solutions when you have $\underline{\quad\quad}$ number of xs on either side of the equation and $\underline{\quad\quad}$.

Explanation:

Step1: Isolate variable terms

Subtract $x$ from both sides.
$x - 7 - x = x + h - x$

Step2: Simplify to solve for $h$

Simplify both sides of the equation.
$-7 = h$

Step3: Analyze solution condition

For zero solutions, the variable terms cancel (same number of $x$'s on each side) and the remaining constants form a false statement.

Answer:

This equation will have zero solutions when $h = -7$ because you get zero solutions when you have the same number of x's on either side of the equation and the constant terms are not equal (a false numerical statement).