Question

solve for x(only)for the following system of equations using Cramer's rule.
4x+5y-2z=-14
7x-y+2z=42
3x+y+4z=28
(show work!)

Answer 1

1st answer: x= -7/2 -5/4y + 1/2z
2nd answer: x= 6 + 1/7y -2/7z
3rd answer: x= 28/3 -1/3y -4/3z

Steps
4x + 5y -2z = -14
Move variables to the right
4x = -14 -5y +2z
Divide both sides by 4
X= -7/2 -5/4y +1/2z
Answer
X= -7/2 -5/4y +1/2z

7x -y +2z =42
Move variables to the right
7x = 42 +y -2z
Divide both sides by 7
X= 6 + 1/7y -2/7z
Answer
X= 6 + 1/7y -2/7z

3x +y +4z = 28
Move variables to the right
3x =28 -y -4z
Divide both sides by 3
X= 28/3 -1/3y -4/3z
Answer
X= 28/3 -1/3y -4/3z