Answer:
{x,y,z} = {-8,-7,5}
Step-by-step explanation:
/ Solve equation [2] for the variable z
[2] z = 5
// Plug this in for variable z in equation [1]
[1] 2x - y + (5) = -4
[1] 2x - y = -9
// Plug this in for variable z in equation [3]
[3] -2x + 3y - (5) = -10
[3] -2x + 3y = -5
// Solve equation [1] for the variable y
[1] y = 2x + 9
// Plug this in for variable y in equation [3]
[3] -2x + 3•(2x+9) = -5
[3] 4x = -32
// Solve equation [3] for the variable x
[3] 4x = - 32
[3] x = - 8
// By now we know this much :
x = -8
y = 2x+9
z = 5
// Use the x value to solve for y
y = 2(-8)+9 = -7
Solution :
{x,y,z} = {-8,-7,5}
