Three equations in x, y, z Quiz: printable

Three equations in x, y, z Quiz

Name: ______________________ Date: __________ Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-1/three-equations-in-x-y-z/quiz/

1
Solve x + y − z = 0, x − y + 3z = 8, x − y − z = −4
Answer: ____________________
2
Solve x + 3y + z = 12, x − y − z = 0, x − y + z = 8
Answer: ____________________
3
Solve x + y − z = 3, x − y − z = 1, x + y + 3z = −1
Answer: ____________________
4
Solve x − y + 3z = 7, x + y − z = −1, x − y − z = 3
Answer: ____________________
5
Solve 2x + 3y + z = −1, x − y − z = 3, x − y + z = 5
Answer: ____________________
6
Solve x − y − z = 0, x + y − z = 10, x + y + 3z = 6
Answer: ____________________
7
Solve x − 2y + z = −3, 2x + y − z = 13, x + y + z = 3
Answer: ____________________
8
Solve x + 2y + z = 3, 2x − y − z = 2, x + y + z = 4
Answer: ____________________
9
Solve x + y + z = 6, 2x + 3y − z = 5, 3x − 2y + z = 19
Answer: ____________________
10
Solve x + 3y + z = 10, 2x − y + z = 2, x + y − z = −2
Answer: ____________________

(x, y, z) = (1, 2, 3)
(x, y, z) = (5, 1, 4)
(x, y, z) = (1, 1, −1)
(x, y, z) = (2, −2, 1)
(x, y, z) = (2, −2, 1)
(x, y, z) = (4, 5, −1)
(x, y, z) = (4, 2, −3)
(x, y, z) = (2, −1, 3)
(x, y, z) = (5, −1, 2)
(x, y, z) = (0, 2, 4)

Every answer solved step by step: steplyclass.com/algebra-1/three-equations-in-x-y-z/quiz/answers/