Question

lesson 7: all, some, or no solutions
what value could you write
after 3x that would make the
equation true for no values of
x?

3x + 8 = 3x + ____

Explanation:

Step1: Isolate variable terms

Subtract $3x$ from both sides:
$3x + 8 - 3x = 3x + c - 3x$
Simplify to: $8 = c$

Step2: Identify no-solution condition

For no solutions, the constants must be unequal. So $c
eq 8$. Any number except 8 will make the equation false for all $x$.

Answer:

Any real number except 8 (e.g., 5, 0, -2)