Solve the system of equations.
\[
\begin{array}{l}
\left\{\begin{array}{l}
3 x-2 y+4 z=4 \\
4 y-4 z=-24
\end{array}\right. \\
x= \\
y= \\
z=
\end{array}
\]

Answer

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Answer

Therefore, the solution to the system of equations is: x = (-2/3)z - (8/3), y = z - 6, z = z

Steps

Step 1 ：Step 1: Solve the second equation for y in terms of z.

Step 2 ：Step 2: Substitute the value of y into the first equation.

Step 3 ：Step 3: Solve the equation 3x + 2z = -8 for x in terms of z.

Step 4 ：Step 4: Substitute the values of x and y into the original second equation.

Step 5 ：Step 5: Check the solution.

Step 6 ：Therefore, the solution to the system of equations is: x = (-2/3)z - (8/3), y = z - 6, z = z