Question

Question: ( 2x-3y-9z = 14), ( x+3z = -5), ( -3x+y-4z = 7)1. if answer is dependent in (a), find the complete solution. Write x and y as functions of z2. Find Value of x= y=

Answer 1

We need to find the solution to the system of equations, writing x and y in terms of z.

Isolating x in the second equation, we obtain:

$\begin{gathered} x+3z=-5 \\ \\ x+3z-3z=-5-3z \\ \\ x=-3z-5 \end{gathered}$

Now, using the above expression for x, in terms of z, in the third equation, we obtain:

$\begin{gathered} -3x+y-4z=7 \\ \\ -3(-3z-5)+y-4z=7 \\ \\ 9z+15+y-4z=7 \\ \\ y+5z+15=7 \\ \\ y+5z+15-5z-15=7-5z-15 \\ \\ y=-5z-8 \end{gathered}$

Therefore, the answers are:

$\begin{gathered} x=-3z-5 \\ \\ y=-5z-8 \end{gathered}$