Solve the system of equations. 2x -y + 3z = 14 x + y - 2z = -5 3x - 5y - 4z = 5

Jadon Melendez

Jadon Melendez

Answered question

2022-07-28

Solve the system of equations.
2x -y + 3z = 14
x + y - 2z = -5
3x + y - z = 2

Answer & Explanation

Kitamiliseakekw

Kitamiliseakekw

Beginner2022-07-29Added 23 answers

2x -y + 3z =14....................(1)
x + y - 2z = -5....................(2)
3x + y - z =2........................(3)
by doing (1)+(2) we get,
2x - y + 3z + x + y -2z = 14 - 5
=> 3x + z =9........................(4)
by doing (3)+(4) weget,
3x + y - z + 3x+ z = 2 + 9
=> 6x + y =11.....................(5)
by (4)-(3) weget,
3x + z -3x - y + z = 9 - 2
=> 2z - y = 7..........................(6)
by (5) - (2) we get,
6x + y - x - y+ 2z = 11 + 5
=> 5x + 2z = 16......................(7)
by (7) - 2*(4) weget,
5x + 2z - 6x - 2z = 16 -18
=> - x = -2
=> x = 2
putting value of x = 2 in(4) we get 6 + z = 9 , =>z = 9 - 6 = 3
putting value of x = 2 in (5) we get, 12 + y = 11, => y = 11 -12 = -1
Answer:- x = 2;
y = -1;
z = 3

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