Q:

Please help me solve this 3 step equation for algebra 2 ASAPX-3y-z=-9-2x+y+2z-32x+y+3z=8

Accepted Solution

A:
Answer:Step-by-step explanation:x-3y-z=-9;-2x+y+2z=3;2x+y+3z=8 Solution : {x,y,z} = {1,3,1} System of Linear Equations entered :   [1]    x - 3y - z = -9   [2]    -2x + y + 2z = 3   [3]    2x + y + 3z = 8Solve by Substitution :// Solve equation [3] for the variable  y  [3]    y = -2x - 3z + 8// Plug this in for variable  y  in equation [1]   [1]    x - 3•(-2x-3z+8) - z = -9   [1]    7x + 8z = 15// Plug this in for variable  y  in equation [2]   [2]    -2x + (-2x-3z+8) + 2z = 3   [2]    -4x - z = -5// Solve equation [2] for the variable  z  [2]    z = -4x + 5// Plug this in for variable  z  in equation [1]   [1]    7x + 8•(-4x+5) = 15   [1]    -25x = -25// Solve equation [1] for the variable  x   [1]    25x = 25   [1]    x = 1 // By now we know this much :    x = 1    y = -2x-3z+8    z = -4x+5// Use the  x  value to solve for  z    z = -4(1)+5 = 1 // Use the  x  and  z  values to solve for  y  y = -2(1)-3(1)+8 = 3 Solution : {x,y,z} = {1,3,1}