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Algebra 2
Unit 6 WS 6-5:
Writing and Solving Systems with Matrices
Name:____________________________
Pd: ______
Write a Gaussian matrix for each system of equations below. Do NOT solve.
1. –3x + 2y = 9
5x – 3y = -13
3.
2. 6x – 2y – 3z = -2
3x + 3y = 10
2y – z = -8
3x  4 z  2 y  9
4 y  7x  8
4. 4 y  z  8  3 x
2 y  12  x
3x  4 y  9
Using a calculator, solve these systems of equations using a Gaussian matrix.
3x  2 y  5 z  3
5.
x  y  4z  2
2 x  2 y  7 z  5
Solution: ___________________
2 x  y  3 z  5
6.
5x  2 y  2 z  8
3 x  3 y  5 z  17
Solution: _______________________
Solve the following systems of equations using a Gaussian Matrix. Round to 1 decimal:
7.
Solution:____________________
8.
Solution: _____________________
x yz 2
9.
x  2z  1
Solution: _____________________
2x  3y  z  8
10.
4 x  3 y  10
5 y  2 x  6
Solution: _____________________