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Solve the system of linear equations x + 5y + 4z = 30 X z

Solve the system of linear equations x + 5y + 4z = 30 X z

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Solve the system of linear equations.

x + 5y + 4z = 30

-X - z = 1

-5x + 5y + 5z = 50

Solution

multiplying equation (1) with 5

5x+25y+20z=150 then adding equation(3) then

30y+25z=200-------------eq(6) multiplying equation (2) with

4 then -4x-4z=4 ading eq(1) to the above equation -

3x+5y= 34--------------------------eq(7) multiplying equation

(7) with 6 -18x+30y=204 i.e. 18x-30y=-204---------------------

-eq(8) adding eq(8) and eq(6) 18x+25z=-4---------------------

-------eq(9) multiplying eq(2) with18 -18x-18z=18-------------

-----------------eq(10) adding eq(9) and(10) 7z=14 so

z=2;replacing z value in eq(10) 18x+36=-18; so x=-

3;replacing x value in eq(8) -54+204=30y 150=30y, so y=5.

so x=-3,y=5,z=2

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Solve the system of linear equations. x + 5y + 4z = 30 -X - z = 1 -5x + 5y + 5z = 50 Solution multiplying equation (1) with 5 5x+25y+20z=150 then adding equation(3) then 30y+25z=200-------------eq(6) multiplying equation (2) with 4 then -4x-4z=4 ading eq(1) to the above equation 3x+5y= 34--------------------------eq(7) multiplying equation (7) with 6 -18x+30y=204 i.e. 18x-30y=-204---------------------eq(8) adding eq(8) and eq(6) 18x+25z= -4---------------------------eq(9) multiplying eq(2) with18 -18x-18z=18-----------------------------eq(10) adding eq(9) and(10) 7z=14 so z=2;replacing z val ...
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