Question

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

Answer 1

If you would like to know in which step did the student first make an error, you can find this using the following steps:

y = 4 - 2z
4y = 2 - 4z
________________
-4(y) = -4(4 - 2z)
4y = 2 - 4z
________________
-4y = -16 + 8z ... Step 2
4y = 2 - 4z
________________
0 = -16 + 8z + 2 - 4z

16 - 2 = 4z

14 = 4z

z = 14/4 = 7/2

The correct result would be: Student made an error in Step 2.

Answer 2

Answer:

Step 2

Step-by-step explanation:

y = 4 - 2z

4y = 2 - 4z

________________

-4(y) = -4(4 - 2z)

4y = 2 - 4z

________________

-4y = -16 + 8z ... Step 2

4y = 2 - 4z

________________

0 = -16 + 8z + 2 - 4z

16 - 2 = 4z

14 = 4z

z = 14/4 = 7/2