Question

The work of a student to solve a set of equations is shown below:

Equation 1: m = 8 + 2n
Equation 2: 4m = 4 + 4n

Step 1: −4(m) = −4(8 + 2n)
4m = 4 + 4n

Step 2: −4m = −32 − 8n
4m = 4 + 4n

Step 3: −4m + 4m = −32 − 8n + 4n

Step 4: 0 = −32 − 4n

Step 5: n = − 8
In which step did the student first make an error? (4 points)


Step 1

Step 2

Step 3

Step 4

Answer 1

which one

Answer 2

The error first occurred in Step 3. The student incorrectly combined the two equations by subtracting them, which led to the incorrect result in Step 4.

Answer 3

In Step 3, the student combined the two equations by adding them instead of subtracting them. This is where the error first occurred.