Question

Solve using matrix method x + 2y + z = 7 ; x + 3z = 11 ; 2x - 3y = 1​

Answer 1

$\huge\red{Answer}$

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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