Solve ternary linear equations. Please help! X + y + Z = 6,3x-y-4z = - 11,2x + 3y-2x = 2 | Math enthusiast | Mathematical art

Solve ternary linear equations. Please help! X + y + Z = 6,3x-y-4z = - 11,2x + 3y-2x = 2

x+y+z=6,①
3x-y-4z=-11,②
2x+3y-2z=2 ③
① + 2, get it
4x-3z=-5 ④
② X 3 + 3
11x-14z=-31 ⑤
It is composed of 4 and 5
{4x-3z=-5 ④
11x-14z=-31 ⑤
The solution is {x = 1
z=3
Substituting x = 1 and z = 3 into (1), we get
1+y+3=6
y=2
The solution of the system of equations is: {x = 1}
y=2
z=3

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