Suppose in an LP, we have the following constraints: What is the x value at the intersection point between the two constraint boundary lines x+6 y>=8 and 7x + 5y <= 35 ? (Round your answer to 4 decimals. )数值题

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Question texta) Using Gaussian elimination or otherwise, solve the system of equations[math: x+2y−z=66x−y+z=72x+3y−2z=6][math: x=]Answer 1 Question 4[input], [math: y=]Answer 2 Question 4[input], [math: z=]Answer 3 Question 4[input]b) For which real number [math: k] does the system of equations [math: x+2y−z=6kx−y+z=72x+3y−2z=6]have no solution?[math: k=] Answer 4 Question 4[input]
The system of linear equations \[\begin{eqnarray}v + 2w + 3x + y + z &=& 1 \\-2v -4w +6x + 2y + 2z &=& 2 \\3v + 6w -3x - y - z &=& 1\end{eqnarray}\] has row echelon form \[\left[\begin{array}{rrrrr|r}1 & 2 & 0 & 0 & 0 & -1 \\0 & 0 & 3 & 1 & 1 & 2 \\0 & 0 & 0 & 0 & 0 & 4\end{array}\right].\] How many solutions does this system have?
The system of linear equations [math: v+2w+3x+y+z=1−2v−4w+6x+2y+2z=23v+6w−3x−y−z=1] has row echelon form [math: [12000−1003112000004].] How many solutions does this system have?
The system of linear equations [math: 2x1+3x2+x3+x5=−1−4x1−6x2−2x3−4x4+18x5=2610x1+15x2+5x3−x4+10x5=1] has row echelon form [math: [23101−1000−156000000].] How many solutions does this system have?
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