Solve the following system. show all your work. (problem in picture) , i only have till midnight of today to finish this last problem and turn it in. it's 7: 03 pm as i'm posting this and i have till 11: 59 pm today to turn it in.

Using Cramer's rule, the system of equations has solutions at x=3, y=4 and z=-5

Step-by-step explanation:

The other solution is by Gaussian elimination. Here is a different way to solve by using matrix and determinants.

Cramer's rule states that for 3x3 equations, the solutions are given by

x = Dx/D, y=Dy/D and z=Dz/D

where D is determinant of the coefficient matrix; Dx, Dy and Dz are determinants of x-, y- and z-matrix respectively.

    |-3  2  1 |

D=|  1  3  2 | = -1

    |  4  4  3 |

similarly Dx = -3, Dy = -4 and Dz = 5

solving

x = Dx/D = -3/-1 = 3

y = Dy/D = -4/-1 = 4

z = Dz/D = 5/-1 = -5

47

step-by-step explanation:

if x = 1, then the answer is 3.5