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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?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? plz help

Respuesta :

The error can be found in step 3. The student forgot to add four which caused him to mess up on the rest of the steps.
varshamittal029

In step 3 the student first made an error to add a term 4.

What is a linear equation of two variables?

Linear equation of two variables is an equation where the highest degree is 1 and the number of variables is 2.

for example: 2x+2y=9

Here, the given two equations are

Equation 1: m = 8 + 2n

Equation 2: 4m = 4 + 4n

To solve these equation multiply -4 on both sides in equation 1

Step 1:

Equation -1*4 : −4(m) = −4(8 + 2n)

Equation -2:  4m = 4 + 4n

Step 2:

Equation -1*4 : −4m = −32 − 8n

Equation -2: 4m = 4 + 4n

Then add these two equations to eleminate the m terms.

Step 3:

Equation -1*4 + Equation -2 : −4m + 4m = −32 − 8n +4+ 4n

In the question term 4 is missing to add in right hand side in step 3

Step-4: 0=-4n-28

taking variable term on one side and constant term on one side and then dividing the coefficient of the variable on both sides.

Step-5: n=-7

Therefore in step 3 the student first made an error to add a term 4.

Learn more about the linear equation of two variables

here: https://brainly.com/question/13544663

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