Question

Samantha Ce best Los 4lateoalp. 1st 10) -6x - 2y + 2z= -8 3x - 2y - 4z = 8 6x - 2y - 6z = -18 Ver 34.srs and

Answer 1

Step-by-step explanation

We want to solve the system of equations for x, y and z by elimination.

First, add the first and third equations together:

`\begin{gathered} -6x-2y+2z+(6x-2y-6z)=-8+(-18) \\ \text{-}6x+6x-2y-2y+2z-6z=-8-18_{} \\ -4y-4z=-26 \end{gathered}`

Subtract the second equation from the first:

`\begin{gathered} -6x-2y+2z-(3x-2y-4z)=-8-8 \\ -6x-3x-2y+2y+2z+4z=-16 \\ -9x+6y=-16 \end{gathered}`

Now we have two simultaneous equations with two variables:

`\begin{gathered} -4y-4z=-26 \\ -9x+6y=-16 \end{gathered}`

Now, multiply the first equation by 9 and the second by 4: