Answer:
[tex][0, 3, -6][/tex]
Step-by-step explanation:
{4x + y = 3
{x + y - z = 9 ←
{2x + 2y + z = 0 ←
{4x + y = 3
{3x + 3y = 9 >> Combined equation
−¾[4x + y = 3]
{−3x - ¾y = −2¼ >> New Equation
{3x + 3y = 9
_________
2¼y = 6¾
___ ___
2¼ 2¼
[tex]y = 3[/tex] [Plug this back into all three equations to get the z-value of −6, and the x-value of 0]; [tex]0 = x[/tex]; [tex]-6 = z[/tex]
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