Question

1. Miriah says that equations A and B have the same solution. Whichstatement explains why this is true?Equation A: -3(x + 7) = 24=Equation B: x + 7 = -8Adding 3 to both sides of Equation A gives x + 7 = -8Applying the distributive property to Equation A gives x + 7 = -8Subtracting 3 from both sides of Equation A gives x + 7 = -8O Dividing both sides of Equation A by-3 gives x + 7 =-8

Answer 1

Given the Equation A:

$-3(x+7)=24$

Dividing both sides by -3, we have:

$\begin{gathered} \frac{-3\mleft(x+7\mright)}{-3}=\frac{24}{-3} \\ \frac{-3}{-3}\cdot(x+7)=-\frac{24}{3} \\ 1\cdot(x+7)=-8 \\ x+7=8 \end{gathered}$

So, dividing both sides of Equation A by -3 gives x + 7 = -8

Alternative D.