Question

Create a matrix for this linear system:

3x+2y+z = 26
X-4y = -11
2x+z = 13


The determinant of the coefficient matrix is _______.

x =

y =

z =

Answer 1

x=5, y=4, z=3

Explanation:

3x+2y+z=26

x=4y-11

then 3(4y-11)+2y+z=26, then

14y+z=59

by third part 2x=13-z=2(4y-11)=8y-22

8y+z=35

now we have 2 equations with y,z

14y+z-(8y+z)=59-35=24

6y=24

y=4

x=4y-11=4×4-11=5

z=13-2x=13-2(5)=3