Question

use any convenient method to solve the following system of equations. if the system is dependent, express the solution set in terms of one of the variables. leave all fractional answers in fraction form.

Answer 1

Answer:

The system of equations has no solutions

Explanation:

Given the system of equations:

3x - 9y + 9z = 44 ..........................................................(1)

2x + 6y - 5z = -18 ..........................................................(2)

x - 3y + 3z = 14 ...............................................................(3)

Solving by elimination, multiply (3) by 2

2x - 6y + 6z = 28 ............................................................(4)

Subtract (2) from (4)

-12y + 11z = 46 .................................................................(5)

Multiply (3) by 3

3x - 9y + 9z = 42 ............................................................(6)

Subtract (6) from (1)

0x + 0y + 0z = 30

This is impossible, and we conclude that the equation has no existing solutions