Question

how many solutions exist for the given equation?

(0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20))

• zero
• one
• two
• infinitely many

Explanation:

Simplify both sides of the equation

$$
LATEXBLOCK0
$$

Solve for x

$$
LATEXBLOCK1
$$

Determine the number of solutions

$$ \text{Since } x = -320 \text{ is a single unique value, there is exactly one solution.} $$

Answer:

• zero
• one (Correct answer)
• two
• infinitely many