Question

2.1.1 study: solving multistep linear equations

solve a multistep equation.

solve \\(\frac{2}{3}x + 4 = 8\\)

the first step is:
a. add 4 to both sides.
b. subtract 4 from both sides.
c. add \\(\frac{2}{3}x\\) to both sides.
d. add 8 to both sides.

what is the first step?
choice a
choice b
choice c
choice d

Explanation:

Identify the constant term to isolate

$$ \frac{2}{3}x + 4 = 8 $$

Apply the subtraction property of equality

$$ \frac{2}{3}x + 4 - 4 = 8 - 4 $$

Determine the correct choice

$$ \text{Subtract 4 from both sides} \implies \text{Choice B} $$

Answer:

• Choice A
• Choice B (Correct answer)
• Choice C
• Choice D