x+2y+z=7 2x+y-3z=-2 x-3Y=2z=-1
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Answer:
x=2,y=1,z=3
Step-by-step explanation:
We have,
x+2y+z=7 .(i)
x+3z=11 .(ii)
2x−3y=1 ..(iii)
From equation (i), we get
z=7−x−2y
Substituting z=7−x−2y in equation (ii), we get
x+3(7−x−2y)=11
⇒x+21−3x−6y=11
⇒−2x−6y=−10 ..(iv)
Adding equations (iii) and (iv), we get
−9y=−9⇒y=1
Putting y=1 in equation (iii), we get x=2.
Putting x=2,y=1 in equation (i), we get
2+2+z+7⇒z=3
Hence, x=2,y=1,z=3.
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