Answer:
[tex]14x+3y-6z=5[/tex]
Step-by-step explanation:
[tex]x-2y-7z=17[/tex] --- 1
[tex]-6x+4y+5z=-9[/tex] --- 2
[tex]8x+7y-z=-4[/tex] ---3
-1 times the second equation = [tex]-1(-6x+4y+5z=-9)[/tex]
= [tex]6x-4y-5z=9[/tex] --4
Now we are given that replace the third equation by the sum of itself and -1 times the second equation
So, New third equation = [tex]8x+7y-z+6x-4y-5z=-4+9[/tex]
= [tex]14x+3y-6z=5[/tex]
Hence the new third equation is [tex]14x+3y-6z=5[/tex]