Question

Answer two questions about Equations A and B:A. 3(x+2)=18B. x+2 =61) How can we get Equation B from Equation A?(A)Add subtract the same quantity to/from both sides(B)Add/subtract a quantity to from only one side(C)Multiply/divide both sides by the same non-zero constant(D)Multiply/divide only one side by a non-zero constant2) Based on the previous answer, are the equations equivalent? In other words, do they have the samesolutionChoose 1 answersYesNo

Answer 1

Answer:

• (C)Multiply/divide both sides by the same non-zero constant

,

• Yes

Explanation:

Part 1

Given Equation A:

$3\mleft(x+2\mright)=18$

Divide both sides by the same non-zero constant (3):

$\begin{gathered} \frac{3\mleft(x+2\mright)}{3}=\frac{18}{3} \\ x+2=6 \end{gathered}$

This is equation B.

The correct choice is C.

Part 2

The equations are equivalent since they will give the same result.