Question

1. iyana solved the equation below:

iyana:
$12b = 3$
$12b \cdot 12 = 3 \cdot 12$
$b = 36$
did she solve it correctly? explain. choose two answers:
a. yes - she solved it correctly.
b. no - she did not solve it correctly.
c. she should have added 12 to both sides.
d. she should have subtracted 12 from both sides.
e. she should have divided both sides by 12.
f. she correctly multiplied both sides by 12.

Explanation:

Step1: Identify error in Iyana's work

To isolate $b$ in $12b=3$, we need to undo the multiplication of $b$ by 12. Iyana multiplied both sides by 12, which is incorrect.

Step2: Correct operation for isolating $b$

To solve for $b$, we divide both sides of the equation by 12:
$$\frac{12b}{12} = \frac{3}{12}$$
Simplify to get $b=\frac{1}{4}$, confirming Iyana's solution is wrong.

Answer:

B. No - she did not solve it correctly.
E. She should have divided both sides by 12.