Are my answers correct?
x-2y+z=1
y+2z=2
x+y+3z=3
Solution :
100
010
001
x =
0.429
y =
0.429
z =
0.714
To check if your answers are correct for the system of equations, you can substitute the values of x, y, and z back into the original equations and see if they satisfy the equations.
Given system of equations:
1) x - 2y + z = 1
2) y + 2z = 2
3) x + y + 3z = 3
Substituting the given values:
1) 0.429 - 2(0.429) + 0.714 = 1
-0.857 + 0.429 + 0.714 = 1
0.286 + 0.714 = 1
1 = 1 (True)
2) 0.429 + 2(0.714) = 2
0.429 + 1.428 = 2
1.857 = 2 (False)
3) 0.429 + 0.429 + 3(0.714) = 3
0.429 + 0.429 + 2.142 = 3
0.857 + 2.142 = 3
3 = 3 (True)
Based on these calculations, we can see that the values of x = 0.429, y = 0.429, and z = 0.714 do not satisfy equation 2. Therefore, your answers are not correct for the given system of equations.