Answer:
(-2,-1,-3)
Step-by-step explanation:
5x-4y-3z=3
x+y-z=0
x=3y+1
Multiply the second equation by -3
-3(x+y-z)=0*3
-3x-3y+3z =0
Add this to the first equation to eliminate z
5x-4y-3z=3
-3x-3y+3z =0
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2x-7y =3
Substitute x =3y+1 into the above equation
2(3y+1) -7y=3
Distribute the 2
6y +2 -7y = 3
Combine like terms
-y+2 =3
Subtract 2 from each side
-y+2-2 = 3-2
-y = 1
Multiply by -1
-y*-1 = 1*-1
y =-1
We need to find x
x=3y+1
x =3(-1) +1
x =-3+1
x= -2
Now we need to find z
x+y-z=0
-2+-1-z=0
-3-z=0
Add z to each side
-3-z+z=0+z
-3=z
x=-2, y=-1 z=-3
(-2,-1,-3)
