50 POINT QUESTION!
please show work step by step
solve system by substitution
-x-y-z=-8
-4x+4y+5z=7
2x+2z=4
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2
1.-x-y-z= -8
x = 8-y-z ...... (i)
3. 2x+2z = 4
x = (4-2z)/2
= 2 - Z .......(ii)
Equating (i) and(ii),
8-y-z=2-z
8-2= -z+z+y
6=y
2. -4x + 4y +5z=7
x= (4y+5z-7)/4 ......(iii)
equating (ii)and (iii)
2-z = (4y+5z-7)/4
8-4z = 24 +5z - 7 [putting value of y and multiplying by 4 on both sides]
8-24+7= 5z+4z
z= (-9)/9 = -1
from eqn.(i),
x=8-6-(-1)
x=3
So ,we have x=3,y=6,z= -1
x = 8-y-z ...... (i)
3. 2x+2z = 4
x = (4-2z)/2
= 2 - Z .......(ii)
Equating (i) and(ii),
8-y-z=2-z
8-2= -z+z+y
6=y
2. -4x + 4y +5z=7
x= (4y+5z-7)/4 ......(iii)
equating (ii)and (iii)
2-z = (4y+5z-7)/4
8-4z = 24 +5z - 7 [putting value of y and multiplying by 4 on both sides]
8-24+7= 5z+4z
z= (-9)/9 = -1
from eqn.(i),
x=8-6-(-1)
x=3
So ,we have x=3,y=6,z= -1
loeloro:
thanks so so somuch!
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