Cramer's rule with three equations Quiz
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10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-2/cramer-s-rule-with-three-equations/quiz/
1
Solve x + y + z = 6, 2x โ y + z = 3, x + 2y โ z = 2 by Cramer's ruleAnswer: ____________________
2
Solve x + 2y + z = 14, 2x + z = 10, 2x + y + z = 14 by Cramer's ruleAnswer: ____________________
3
Solve 3x + y = 1, 2x + 2y + z = โ1, 3x + 2y + z = 0 by Cramer's ruleAnswer: ____________________
4
Solve x โ y + z = 1, 3x โ y + z = 5, 2x + y + z = 9 by Cramer's ruleAnswer: ____________________
5
Solve 3x + 2y + z = 11, x + y โ z = 2, 2x + y = 5 by Cramer's ruleAnswer: ____________________
6
Solve x + 2y + z = 2, 3x + y = 10, x + y = 2 by Cramer's ruleAnswer: ____________________
7
Solve 3x + y + z = 11, x + y โ z = 7, 2x + y + 3z = 6 by Cramer's ruleAnswer: ____________________
8
Solve x + 3z = 5, 2x โ y + 3z = 5, x + 3y + 3z = 11 by Cramer's ruleAnswer: ____________________
9
Solve x + 3y = โ3, x + 2y + 3z = โ7, 2x + 3y + z = โ2 by Cramer's ruleAnswer: ____________________
10
Solve x + 2z = 2, x + 2y + z = โ2, x โ y โ z = โ3 by Cramer's ruleAnswer: ____________________
Answer key
- (x, y, z) = (1, 2, 3)
- (x, y, z) = (4, 4, 2)
- (x, y, z) = (1, โ2, 1)
- (x, y, z) = (2, 3, 2)
- (x, y, z) = (1, 3, 2)
- (x, y, z) = (4, โ2, 2)
- (x, y, z) = (3, 3, โ1)
- (x, y, z) = (2, 2, 1)
- (x, y, z) = (3, โ2, โ2)
- (x, y, z) = (โ2, โ1, 2)
Every answer solved step by step: steplyclass.com/algebra-2/cramer-s-rule-with-three-equations/quiz/answers/