Solving Systems of Linear Equations: Substitution (6.2.2) Exam/ Questions with Verified Answers/ .

Solving Systems of Linear Equations:
Substitution (6.2.2) Exam/ Questions with
Verified Answers/ 2024-2025.
Ernesto tried to determine the solution for the system of equations using substitution. His work
is shown below.


x-y=7
3x - 2y = 8
Step 1: x = y + 7
Step 2: 3(y + 7) - 2y = 8
Step 3: 3y + 7 - 2y = 8
Step 4: y + 7 = 8
Step 5: y = 1


In which step did Ernesto make the first error? - Answer: Step 3



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, y = 1/2x - 6
x = -4


What is the solution to the system of equations? - Answer: (-4, -8)


What is the solution to the system of equations?


y= 2/3x + 3
x = -2 - Answer: (-2,5/3)


y = 4x - 10
y=2


What is the solution to the system of equations? - Answer: (3,2)


y = -3x + 6
y=9




What is the solution to the system of equations?
y= 1.5x - 4
y = -x - Answer: (1.6, -1.6)




What is the solution to the system of equations? - Answer: (7, 13/3)


What is the solution to the system of equations?
y= -5x + 3
y = 1 - Answer: (0.4, 1)


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