Solve the system of equations by substitution.

Mathematics
Tutor: None Selected Time limit: 1 Day

x-2y+2z=-11

2x+5y-7z=36

X-y+z=-5

Oct 8th, 2015

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take the equations as a,b and c

x-2y+2z=-11------------a

2x+5y-7z=36---------b

X-y+z=-5-----------c


c*2

2x-2y+2z =-10-----d

a-d

x-2y+2z - (2x-2y+2z) = -11-(-10)

both y and z cancells

-x=-1

x=1


c*7

7x-7y+7z=-35------e

e+b

7x-7y+7z + (2x+5y-7z) =-35+36

9x-2y =1

you know x =1

2y = 1-9

y=4


substitute x and y to equation c

1-4+z = -5

z= -2


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 8th, 2015

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