# SOLUTION: Please help me with this problem as soon as possible Thank You Solve the system of equations 8x-y+z=34 3x + 2y - 3z=-15 x-3y+2z=29 Type an exact answer in simpliest form

Algebra ->  Algebra  -> College  -> Linear Algebra -> SOLUTION: Please help me with this problem as soon as possible Thank You Solve the system of equations 8x-y+z=34 3x + 2y - 3z=-15 x-3y+2z=29 Type an exact answer in simpliest form      Log On

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 Click here to see ALL problems on Linear Algebra Question 185247: Please help me with this problem as soon as possible Thank You Solve the system of equations 8x-y+z=34 3x + 2y - 3z=-15 x-3y+2z=29 Type an exact answer in simpliest formAnswer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!Solve the system of equations 8x - y + z = 34 3x +2y -3z =-15 x -3y +2z = 29 Type an exact answer in simpliest form : 8x - y + z = 34 3x +2y -3z =-15 x -3y +2z = 29 -------------------adding the 3 equation will eliminate z 12x - 2y = 48 Simplify, divide 2: 6x - y = 24 : multiply the 1st by 3, add to the 2nd equation 24x - 3y + 3z = 102 3x + 2y - 3z = -15 -------------------------adding eliminate z again 27x - y = 87 : Subtract (6x - y = 24) from the above equation 27x - y = 87 6x - y = 24 ------------- 21x = 63 x = x = 3 : Find y using 6x - y = 24 6(3) - y = 24 18 - y = 24 -y = 24 - 18 -y = +6 y = -6 : Find z using the 3rd equation x -3y + 2z = 29 3 - 3(-6) + 2z = 29 3 + 18 + 2z = 29 2z = 29 - 21 2z = 8 z = z = +4 ; ; Check solution in the 2nd equation: 3x +2y -3z =-15 3(3) = 2(-6) - 3(4) = -15 9 - 12 - 12 = -15; confirms our solutions