Question

Question was provided via image upload.

Explanation:

Analyze Problem 1

Using the Error Analysis knowledge point

$$
LATEXBLOCK0
$$

Analyze Problem 2

Using the Error Analysis knowledge point

$$
LATEXBLOCK1
$$

Analyze Problem 3

Using the Error Analysis knowledge point

$$
LATEXBLOCK2
$$

Answer:

Question 1

The correct solution is:

$$
LATEXBLOCK0
$$

• Student's Error: In the final step, the student solved \(-2y = 1\) and incorrectly wrote \(y = \frac{1}{2}\), omitting the negative sign.

Question 2

The correct solution is:

$$
LATEXBLOCK1
$$

• Student's Error: The student incorrectly added the equations to get \(8x = -20\) instead of subtracting them to eliminate \(4y\).

Question 3

The correct solution is:

$$
LATEXBLOCK2
$$

• Student's Error: Although the student correctly solved for \(y = 42\), they substituted \(y = 41\) into the first equation in the next step, leading to an incorrect value for \(x\).