x + y - z = 9 3x - y + z = -13 _________ (+) 4x = -4 => x = -1 => y - z = 10; But, x - 2y + 4z = -1 => -2y + 4z = 0 => -y + 2z = 0;
y - z = 10 -y + 2z = 0 _______ (+) / z = 10 => y = 20 .
A. There is one solution. The solution is ( - 1, 20, 10 ).
The solution to the system of equations is ( x , y , z ) = ( − 1 , 20 , 10 ) . This was obtained by substituting and solving for the variables systematically. The equations were simplified and combined, leading to the final answer.
;