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alex43079
16.02.2022 •
Mathematics
What is the solution to the system of equations below?
7x+3y + z = 10
X+-4y - Z=0
2x+6y + 2z = 8
O A. x = 3, y = 8, z =5
O B. X = 3, y = 1, z=7
O c. x = 1, y = -2, z = 9
O D. X = 1, y = -2, z= 7
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Ответ:
C: x=1 y=-2 z=9
Step-by-step explanation:
7x+3y + z = 10 z=10-7x-3y
X+(-4y)-(10-7x-3y)=0
x-4y-10+7x+3y=0
8x-y-10=0
y=8x-10
2x+6(8x-10)+ 2z = 8
2x+48x-60+2z=8
z=10-7x-3(8x-10)
z=10-7x-24x+30
z=40-31x
50x+2z=68
50x+2(40-31x)=68
50x+80-62x=68
-12x=-12 x=1
z=40-31x z=40-31*1 z=9
y=8x-10 y=8*1-10 y=-2
x=1 y=-2 z=9
Ответ: