Solve the system by elimination and write your solution as an ordered triple (r,s,t). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".
Systems in Three Variables

Quiz
•
Mathematics
•
11th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Solve the system by elimination and write your solution as an ordered triple (a,b,c). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".
3.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Solve the system by elimination and write your solution as an ordered triple (x,y,z). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".
Answer explanation
The three planes representing the solution sets of each equation all meet at one point, shown in the picture. A system with solutions is called a CONSISTENT system.
4.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Solve the system by elimination and write your solution as an ordered triple (x,y,z). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".
Answer explanation
The planes representing the solution sets of each equation do not all intersect, so there are no solutions. If you graphed the three planes, they would look like this. A system with no solutions is called an INCONSISTENT system.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system.
(5, -6, 3)
(2, 3, -1)
(-4, 2, 5)
No Solution
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system.
(3, -2, 4)
(2, -3, 1)
(-3, 2, -1)
Infinitely many solutions
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system.
(1, 2, -2)
(1, -3, -2)
(-1, 3, 2)
No Solution
Create a free account and access millions of resources
Similar Resources on Quizizz
15 questions
Substitution Linear Equation

Quiz
•
9th Grade - University
20 questions
Algebra 2A Exam Review

Quiz
•
12th Grade
18 questions
Alg 2 Fall 24 EOCA Review Part 1

Quiz
•
11th Grade
20 questions
Solving Systems of Linear Equations by Graphing

Quiz
•
9th - 11th Grade
20 questions
Solving Systems of Equations Graphing

Quiz
•
8th Grade - University
20 questions
Quiz 1: Solving Systems of Equations

Quiz
•
9th - 12th Grade
15 questions
Solve Systems of Linear & Quadratic Equations

Quiz
•
10th - 12th Grade
15 questions
Solving System Substitution

Quiz
•
9th Grade - University
Popular Resources on Quizizz
15 questions
Multiplication Facts

Quiz
•
4th Grade
20 questions
Math Review - Grade 6

Quiz
•
6th Grade
20 questions
math review

Quiz
•
4th Grade
5 questions
capitalization in sentences

Quiz
•
5th - 8th Grade
10 questions
Juneteenth History and Significance

Interactive video
•
5th - 8th Grade
15 questions
Adding and Subtracting Fractions

Quiz
•
5th Grade
10 questions
R2H Day One Internship Expectation Review Guidelines

Quiz
•
Professional Development
12 questions
Dividing Fractions

Quiz
•
6th Grade