Answered

Answer two questions about Equations [tex]\(A\)[/tex] and [tex]\(B\)[/tex]:

A. [tex]\(3(x+2) = 18\)[/tex]
B. [tex]\(x+2 = 6\)[/tex]

1) How can we get Equation [tex]\(B\)[/tex] from Equation [tex]\(A\)[/tex]?

Choose one answer:
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 constant



Answer :

GinnyAnswer
To transform Equation [tex]\( A \)[/tex] to Equation [tex]\( B \)[/tex], consider Equation [tex]\( A \)[/tex] which is:
[tex]\[ 3(x + 2) = 18 \][/tex]

We need to isolate the term [tex]\( x + 2 \)[/tex].

1) To do this transformation, we start by dividing both sides of Equation [tex]\( A \)[/tex] by 3. This step ensures that the equation remains balanced. So let's perform this operation:

[tex]\[ \frac{3(x + 2)}{3} = \frac{18}{3} \][/tex]

Simplify both sides:
[tex]\[ x + 2 = 6 \][/tex]

Now we see that this resulting equation matches Equation [tex]\( B \)[/tex].

Therefore, the correct choice is:
(C) Multiply/divide both sides by the same non-zero constant