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

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

step 1: −4(m) = −4(8 + 2n) [equation 1 is multiplied by −4.]
4m = 4 + 4n [equation 2]
step 2: −4m = −32 − 8n [equation 1 in step 1 is simplified.]
4m = 4 + 4n [equation 2]
step 3: −4m + 4m = −32 − 8n + 4n [equations in step 2 are added.]
step 4: 0 = −32 − 4n
step 5: n = −8

in which step did the student first make an error?

In step 3

4m = 4 + 4n

-4m = -32 -8n. (step 2)

If you add -4m, 4m you end up with

-4m+4m=-32 -8n + 4n +4

In step 3. the 4 was not added

continuing to solve 4n=-28, n=-7

associative property hopes this ! : )

step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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