Answer:
x=1
y=2
z=-1
Step-by-step explanation:
Add the first two equations: (this will be equation 4)
[tex]3y - z = 7[/tex]
Multiply the first equation by 2:
[tex]2x + 2y - 4z = 10[/tex]
Take the third equation and subtract the above equation.
[tex]y + 3z = - 1[/tex]
Multiply that by 3:
[tex]3y + 9z = - 3[/tex]
Subtract equation 4:
[tex]10z = - 10[/tex]
[tex]z = - 1[/tex]
For y+3z=-1, plug in values:
[tex]y + 3( - 1) = - 1[/tex]
[tex]y - 3 = - 1[/tex]
[tex]y = 2[/tex]
Plug in y and z values in first equation:
[tex]x + 2 - 2( - 1) = 5[/tex]
[tex]x + 2 + 2 = 5[/tex]
[tex]x = 1[/tex]
