The work of a student to solve a set of equations is shown:
Equation A: y = 4 - 2z
Equation B: 4y = 2 - 4z
Step 1: - 4 (y) = - 4 (4 - 2z) [Equation A is multiplied by - 4.]
4y = 2 - 4z [Equation B]
Step 2: - 4y = 4 - 2z [Equation A in Step 1 is simplified.]
4y = 2 - 4z [Equation B]
Step 3: 0 = 6 - 6z [Equations in Step 2 are added.]
Step 4: 6z = 6
Step 5: z = 1
In which step did the student first make an error?
Step 1
Step 3
Step 4
Step 2
+1
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Home » Mathematics » The work of a student to solve a set of equations is shown: Equation A: y = 4 - 2z Equation B: 4y = 2 - 4z Step 1: - 4 (y) = - 4 (4 - 2z) [Equation A is multiplied by - 4.