(d) None obtained a system that is equivalent to the teacher's system
Which of them obtained a system that is equivalent to the teacher's system?
From the question, we have the following parameters that can be used in our computation:
Teacher
-4x + 10y = 8
-5x - 11y = 7
Nour
-9x - y = 8
-4x + 10y = 1
Leo
-5x - 11y = 1
-9x - y = 8
Add the equations in the Teacher's system
-9x - y = 15
This means that one of the equations in their system must be -9x - y = 15
We can see that none of the equations in the students' system is -9x - y = 15
Hence, none obtained an equivalent system
Question
Nour and Leo's teacher gave them a system of linear equations to solve. They each took a few steps that led to the systems shown in the table below.
Teacher
-4x + 10y = 8
-5x - 11y = 7
Nour
-9x - y = 8
-4x + 10y = 1
Leo
-5x - 11y = 1
-9x - y = 8
Which of them obtained a system that is equivalent to the teacher's system? Remember that two linear systems are "equivalent" if they have the same solution.
Choose 1 answer:
Leo's system
Nour's system
Both systems
None