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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?

Step 1 Step 2 Step 3 Step 4

Verified Answer :

He made erron in step 3. He forgot add 4. it should be  
-4m + 4m = -32 - 8n + 4n +4

Greeting

The error is found in step 3.

Here is what he did:

-4m + 4m = -32 - 8n + 4n <<<<<<<<<<<< What happened to +4???

0 = -32 - 4n

n = -8.

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