# SOLUTION: Hi all, I asked this question recently but havnt been given a responce yet. Any help would be greatly appreciated. I need to Solve the following system of equations by using Gaus

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: Hi all, I asked this question recently but havnt been given a responce yet. Any help would be greatly appreciated. I need to Solve the following system of equations by using Gaus      Log On

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 Question 229023: Hi all, I asked this question recently but havnt been given a responce yet. Any help would be greatly appreciated. I need to Solve the following system of equations by using Gaussian elimination. I also need to include the row operation used next to each row. 2x - y + 3z = 24 2y - z = 14 2x - 5y + 7z = 6 Thanks, -Nick.Answer by stanbon(57307)   (Show Source): You can put this solution on YOUR website!Solve the following system of equations by using Gaussian elimination. I also need to include the row operation used next to each row. 2x - y + 3z = 24 0x + 2y - z = 14 2x - 5y + 7z = 6 ------------------------ Subtract 1st row from 3rd: 2x - y + 3z = 24 0x + 2y - z = 14 0x - 4y + 4z = -18 -------------------------- Add 2 times the 2nd to the 3rd: 2x - y + 3z = 24 0x + 2y - z = 14 0x + 0y + 2z = 10 --------------------- Solve the 3rd equation for "z" z = 5 ---- Substitute into the 2nd Eq and solve for "y": 2y -5 = 14 2y = 19 y = 9.5 ------------------ Substitute into the 1st Eq and solve for "x": 2x - 9.5 + 15 = 24 2x + 5.5 = 24 2x = 18.5 x = 9.25 ================================= Cheers, Stan H.