solve the system of equation using gauss jordan method. x-y+2z=3, x+2y+3z=5, 3x-4y-5z=-13
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Given :
x-y+2z=3,
x+2y+3z=5,
3x-4y-5z=-13
To Find : x , y & z
Solution:
x-y+2z=3, Eq1
x+2y+3z=5, Eq2
3x-4y-5z=- 13 Eq3
Eq1 + Eq2 + Eq3
=> 5x - y = -5
3* Eq1 - 2 * Eq2
=> x - 7y = - 1
5x - y = -5
x - 7y = - 1 => 5x - 35y = - 5
=> 34y = 0
=> y = 0
5x - y = -5
=> x = -1
x-y+2z=3,
=> -1 - 0 + 2z = 3
=> 2z = 4
=> z = 2
x = -1
y = 0
z = 2
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