The following questions are given..

Question

The following equations are given:

Equation #1: 3x+z+y=8

Equation #2: 5y−x=−7

Equation #3: 3z+2x−2y=15

Equation #4: 4x+5y−2z=−3

a. Is it possible to solve for any of the variables using only Equation #1 and Equation #2? Explain your answer. If possible, solve for the variables using only equations #1 and #2.

b. Is it possible to solve for any of the variables using only Equation #1, Equation #2, and Equation #3? Explain your answer. If possible, solve for the variables using only equations #1, #2, and #3.

c. If you found solutions in part b, do these solutions also hold for Equation #4?

Answer 1

you need 3 equations to solve for 3 variables

use substitution and elimination or matrix algebra

using the 1st 3 equations, x= 2 y= -1 z= 3

that solution is also a solution for equation 4