`5x - 3y + 2z = 3, 2x + 4y - z = 2, x + y - z = -1` Solve the system of linear equations and check any solutions algebraically.

Expert Answers

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Eq. 1 : `5x-3y+2z=3`

Eq. 2 : `2x+4y-z=2`

Eq. 3 : `x+y-z=-1`

Multiply Eq. 2 by 2 and add Eq. 1,



Eq.4 : `9x+5y=7`

Subtract Eq. 3 from Eq. 2,

Eq.5 : `x+3y=3`

Now let's solve Eq.4 and Eq.5 by substitution method,

From Eq.5 ,


Substitute the above expression of x in the Eq.4,








Plug in the value of y in the expression of x,






Plug in the values of x and y in the Eq.3,







Solutions of the equations are x=3/11 , y=10/11 and z=24/11

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