Solve the system by substitution(show your work)-x - y - z = -8-4x + 4y + 5z = 72x + 2z = 4

Answer:x = 3 , y = 6 , z = -1Step-by-step explanation using substitution:Solve the following system: {-x - y - z = -8 -4 x + 4 y + 5 z = 7 2 x + 2 z = 4 In the first equation, look to solve for x: {-x - y - z = -8 -4 x + 4 y + 5 z = 7 2 x + 2 z = 4 Add y + z to both sides: {-x = -8 + y + z -4 x + 4 y + 5 z = 7 2 x + 2 z = 4 Multiply both sides by -1: {x = 8 - y - z -4 x + 4 y + 5 z = 7 2 x + 2 z = 4 Substitute x = 8 - y - z into the second and third equations: {x = 8 - y - z 4 y - 4 (8 - y - z) + 5 z = 7 2 (8 - y - z) + 2 z = 4 4 y - 4 (8 - y - z) + 5 z = 4 y + (-32 + 4 y + 4 z) + 5 z = -32 + 8 y + 9 z: {x = 8 - y - z -32 + 8 y + 9 z = 7 2 (8 - y - z) + 2 z = 4 2 (8 - y - z) + 2 z = (16 - 2 y - 2 z) + 2 z = 16 - 2 y: {x = 8 - y - z -32 + 8 y + 9 z = 7 16 - 2 y = 4 In the third equation, look to solve for y: {x = 8 - y - z -32 + 8 y + 9 z = 7 16 - 2 y = 4 Subtract 16 from both sides: {x = 8 - y - z -32 + 8 y + 9 z = 7 -2 y = -12 Divide both sides by -2: {x = 8 - y - z -32 + 8 y + 9 z = 7 y = 6 Substitute y = 6 into the second equation: {x = 8 - y - z 9 z + 16 = 7 y = 6 In the second equation, look to solve for z: {x = 8 - y - z 9 z + 16 = 7 y = 6 Subtract 16 from both sides: {x = 8 - y - z 9 z = -9 y = 6 Divide both sides by 9: {x = 8 - y - z z = -1 y = 6 Substitute z = -1 into the first equation: {x = 9 - y z = -1 y = 6 Substitute y = 6 into the first equation: {x = 3 z = -1 y = 6 Collect results in alphabetical order: Answer:  {x = 3 , y = 6 , z = -1