Question

फॉर विच वैल्यू ऑफ पी डस द पेयर ऑफ इक्वेशन एक्स प्लस वाई प्लस 1 इक्वल टू जीरो एंड 4 एक्स प्लस बी वाई प्लस 8 इक्वल टू जीरो है जो यूनिक सलूशन ​

Answer 1

Explanation:

The value of x = 2 , y=-1 and z= 4.

Explanation:

The given system of linear equations are :

X+y+z=5X+y+z=5 (1)

2x-y+z=92x−y+z=9 (2)

x-2y+3z=16x−2y+3z=16 (3)

From (1) and (3) , we have

X=5-y-zX=5−y−z (4)

x=16+2y-3zx=16+2y−3z (5)

From (4) and (5) , we have

5-y-z=16+2y-3z5−y−z=16+2y−3z

\Rightarrow\ -3y+2z=11⇒ −3y+2z=11 (6)

Put value of x from (4) in (2) , we get

2(5-y-z)-y+z=92(5−y−z)−y+z=9

10-2y-2z-y+z=910−2y−2z−y+z=9

-3y-z=-1−3y−z=−1

z=1-3yz=1−3y (7)

Put value of z in (6) , we get

-3y+2(1-3y)=11−3y+2(1−3y)=11

-3y+2-6y=11−3y+2−6y=11

-9y=11-2=9−9y=11−2=9

y=-1y=−1

Put value of y in (7) , we get

z=1-3(-1)=1+3=4z=1−3(−1)=1+3=4

Put value of y and z in (4) , we get

X=5-(-1)-4=5+1-4=2X=5−(−1)−4=5+1−4=2

Hence, the value of x = 2 , y=-1 and z= 4.

# Learn more :

Solve, x-y+Z =4, x-2y - 2z=9, 2x+y+3z=1