8.8. Cramer’s Rule http://www.ck12.org
3 x+ 2 y− 3 z= 7
−x+ 5 y+ 2 z= 29
x+ 2 y+z= 15- Use Cramer’s Rule to solve forxin the following system:
2 x+y− 2 z=− 5
− 4 x− 2 y+ 3 z= 2
3 x+y−z= 3- Use Cramer’s Rule to solve foryin the following system:
−x+ 3 y+z= 11
3 x+y+ 2 z= 27
5 x−y−z= 5- Use Cramer’s Rule to solve forzin the following system:
3 x+ 2 y+ 4 z= 21
− 2 x+ 3 y+z=− 11
x+ 2 y− 3 z=− 3Solve the following systems of equations using Cramer’s Rule. Practice using your calculator to help with at least
one problem. If one solution does not exist, explain.
12.
−x+ 2 y− 6 z= 4
8 x+ 5 y+ 3 z=− 8
2 x− 4 y+ 12 z= 53 x+ 5 y+ 8 z= 37
− 6 x+ 3 y+z= 42
x+ 3 y− 2 z= 54 x+y− 6 z=− 38
2 x+ 7 y+ 8 z= 108
− 3 x+ 2 y− 3 z=− 15