SOLUTION: Solve the 3x3 system of equations. x + y + z = 6 x = 2y z = x + 1

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Question 936319: Solve the 3x3 system of equations.
x + y + z = 6
x = 2y
z = x + 1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x+%2B+y+%2B+z+=+6....eq.1
x+=+2y...........eq.2
z+=+x+%2B+1.......eq.3
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x+%2B+y+%2B+z+=+6....eq.1...substitute x and z
2y%2B+y+%2B+x+%2B+1=+6.....substitute x again
2y%2B+y+%2B+2y+%2B+1=+6...solve for y
5y+=+6-1
5y+=+5
y+=+5%2F5
highlight%28y+=1%29
go to x+=+2y...........eq.2..substitute y and solve for x
x+=+2%2A1
highlight%28x+=+2%29
go to z+=+x+%2B+1.......eq.3..substitute x and solve for z
z+=+2+%2B+1
highlight%28z+=+3%29