Solution : {x,y,z} = {-3,-2,-1} System of Linear Equations entered : [1] x + 6y + 3z = -18 [2] -x + 6y - 3z = -6 [3] 5x - 6y + 3z = -6 Solve by Substitution :// Solve equation [1] for the variable x
[1] x = -6y - 3z - 18 // Plug this in for variable x in equation [2]
[2] -(-6y-3z-18) + 6y - 3z = -6 [2] 12y = -24 // Plug this in for variable x in equation [3]
[3] 5•(-6y-3z-18) - 6y + 3z = -6 [3] - 36y - 12z = 84 // Solve equation [2] for the variable y
[2] 12y = - 24 [2] y = - 2 // Plug this in for variable y in equation [3]
[3] - 36•(-2) - 12z = 84 [3] - 12z = 12 // Solve equation [3] for the variable z
[3] 12z = - 12 [3] z = - 1 // By now we know this much : x = -6y-3z-18 y = -2 z = -1// Use the y and z values to solve for x
x = -6(-2)-3(-1)-18 = -3 Solution : {x,y,z} = {-3,-2,-1} Processing ends successfully