Solve the system of equations.
$\begin{array}{l} {\begin{matrix} 3 x - 2 y + 4 z = 4 \\ 4 y - 4 z = - 24 \end{matrix} \\ x = \\ y = \\ z = \end{array}$

Answer

Expert–verified

Hide Steps

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