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how to dolve for X,Y,Z WITH 3 EQATIONS WITH 3 VARIABLES

Mathematics
Tutor: None Selected Time limit: 1 Day

X-2Y+Z=7

-2X-Y-Z=-7

4X+5Y-2Z=3

Apr 22nd, 2015

There are many ways:

1. We get rid of Z by adding equation #1 and equation #2:

x-2y+z -2x-y-z = 7-7

-x -3y = 0

x = -3y

Now we can substitute x in the first equation

-3y-2y+z = 7

-5y +z = 7

z = 5y+7

now we can substitute x and z in the 3rd equation:

4* (-3y)+5y -2(5y+7) = 3    we get the value of y from this equation

-12y +5y -10y -14 =3

-17y = 17

y = -1

Now we can find values of x and z by putting value of y into:

x = -3 *(-1) = 3

z = 5 *(-1) + 7 = 2


Answer: X =3

             Y = -1

             Z = 2





Apr 21st, 2015

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