Betsie tried to solve an equation step by step. \qquad\begin{aligned} 3(a+7)&=-33\\\\ \\ a+7&=-11&\green{\text{Step } 1}\\\\ \\ a&=-4&\blue{\text{Step } 2}\\\\ \end{aligned} 3(a+7) a+7 a =−33 =−11 =−4 Step 1 Step 2 Find Betsie's mistake. Choose 1 answer: Choose 1 answer: (Choice A) A \green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b (Choice B) B \blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed (Choice C) C Betsie did not make a mistake.

The value of the a is -18, not -4 and Bestie's mistake is while transferring +7 to another side of the equation, Bestie has not changed the sign of the number.

The given equation is 3(a + 7) = -33.

How to solve the equation?

To solve the equation:

Addition property of equality: Add the same number to both sides. If a = b, then a + c = b + c.
Subtraction property of equality: Subtract the same number from both sides. If a = b, then a - c = b - c.
Multiplication property of equality: Multiply the same number on both sides. If a = b, then ac = bc.
Division property of equality: Divide by the same number on both sides. If a = b, then a/c = b/c. (where c ≠ 0)

Now, 3(a + 7) = -33

⇒(a + 7) = -11

⇒a=-11-7

⇒a=-18

From the question, in step 1 they have given a=-4 which is wrong because a=-18.

Step2: Bestie's mistake is while transferring +7 to another side of the equation, Bestie has not changed the sign of the number.

Therefore, the value of the a is -18, not -4 and Bestie's mistake is while transferring +7 to another side of the equation, Bestie has not changed the sign of the number.

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https://brainly.com/question/10413253.

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