Asked by Giselle
Solve the following system of equations. Then, write the final answer in (x, y, z) form.
-12x+y-x=-20
-2x-4y+2z=10
x+2y+2z=25
-12x+y-x=-20
-2x-4y+2z=10
x+2y+2z=25
Answers
Answered by
bobpursley
You have to use the tools you have learned, which I have no idea what you have studied.
Your calcualtor can solve this very rapidly, using Gaussian Reduction. You can use determinants, or elimination of variables.
for instance, take the last two equations.
Double the last one, and add the equations.
-2x-4y+2z=10
2x +4y +4z=50 then add
6z=60
z=10
now, look at the first two equaions with z=10
multipy to first equation by 4, then add the equations, and you have x.
-48x+4y -10=-80
-2x-4y+20=10 then add
-50x+30=-70
and you have x
check my work, it is easy to make an error when adding and typing
Your calcualtor can solve this very rapidly, using Gaussian Reduction. You can use determinants, or elimination of variables.
for instance, take the last two equations.
Double the last one, and add the equations.
-2x-4y+2z=10
2x +4y +4z=50 then add
6z=60
z=10
now, look at the first two equaions with z=10
multipy to first equation by 4, then add the equations, and you have x.
-48x+4y -10=-80
-2x-4y+20=10 then add
-50x+30=-70
and you have x
check my work, it is easy to make an error when adding and typing
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