Question

Use elimination to solve the following system of equations.

{-x + y + 2z = 7
2x + 3y + z = 1
-3x - 4y + z = 4



x = 1, y = 2, z = -2
x = 2, y = 1, z = -2
x = -2, y = 1, z = 2
x = 1, y = -2, z = -2

Answer 1

Hope the following suggestions will be of help:

-x + y + 2z = 7 Mult. this equation by 2 and add your result to the second equation.
2x + 3y + z = 1 show your result.
-3x - 4y + z = 4

Answer 2

-x + y + 2z = 7 Next, mult this equation by -3 and combine your result with the
2x + 3y + z = 1 third equation. Show your result.
-3x - 4y + z = 4

By doing these things you should be able to eliminate the variable x.

Answer 3

-2 1 and 2 right?