Gaussian elimination Quiz
Name: ______________________ Date: __________ Score: ____ / 10
10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-2/gaussian-elimination/quiz/
1
Solve x + 2y = 4, x + y = 3 by gaussian eliminationAnswer: ____________________
2
Solve x + y = 5, x − y = 1 by gaussian eliminationAnswer: ____________________
3
Solve x + 3y = 7, 2x + y = 4 by gaussian eliminationAnswer: ____________________
4
Solve x − 2y = −1, 2x − y = 4 by gaussian eliminationAnswer: ____________________
5
Solve x + y + z = 3, x − y + 2z = 5, 2x + y − z = 1 by gaussian eliminationAnswer: ____________________
6
Solve x + 2y + z = 8, x + y − z = 1, 2x + y + z = 7 by gaussian eliminationAnswer: ____________________
7
Solve x + y − z = 0, 2x − y + z = 6, x + 3y + 2z = 9 by gaussian eliminationAnswer: ____________________
8
Solve x + y + 2z = 7, x − y + z = 0, 3x + y − z = 2 by gaussian eliminationAnswer: ____________________
9
Solve 2x + y − z = 2, x + y + z = 6, x − y + z = 4 by gaussian eliminationAnswer: ____________________
10
Solve y + z = 5, x + y + z = 6, x − y + z = 2 by gaussian eliminationAnswer: ____________________
Answer key
- (x, y) = (2, 1)
- (x, y) = (3, 2)
- (x, y) = (1, 2)
- (x, y) = (3, 2)
- (x, y, z) = (107, −17, 127)
- (x, y, z) = (65, 115, 125)
- (x, y, z) = (2, 35, 135)
- (x, y, z) = (12, 52, 2)
- (x, y, z) = (2, 1, 3)
- (x, y, z) = (1, 2, 3)
Every answer solved step by step: steplyclass.com/algebra-2/gaussian-elimination/quiz/answers/