Question

1. joey and nolan are each solving the equation $13x - 42 = 18 - 7x$. joeys first step was to rewrite the equation as $20x - 42 = 18$ while nolans first step was to rewrite the equation as $13x = 60 - 7x$. who is correctly applying the addition property of equality in the first step of his work? \\(\bigcirc\\) a. neither joey nor nolan \\(\bigcirc\\) b. only joey \\(\bigcirc\\) c. only nolan \\(\bigcirc\\) d. both joey and nolan

Explanation:

Step1: Check Joey's step

The addition property of equality states that if you add the same value to both sides of an equation, the equality holds. Joey started with $13x - 42 = 18 - 7x$. He added $7x$ to both sides:
$13x - 42 + 7x = 18 - 7x + 7x$
Simplifies to $20x - 42 = 18$, which is correct.

Step2: Check Nolan's step

Nolan started with $13x - 42 = 18 - 7x$. He added $42$ to both sides:
$13x - 42 + 42 = 18 - 7x + 42$
Simplifies to $13x = 60 - 7x$, which is also correct.

Answer:

D. Both Joey and Nolan