Can someone please help me do this!
Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.
x - 5y + 2z = 0
x + 4y - z = 12
2x - y + 3z = 10

Question

Can someone please help me do this!
Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.
 x - 5y + 2z = 0
x + 4y - z = 12
2x - y + 3z = 10

joannablackwelder · Answer

To solve a three variable system of equations, I prefer to first use elimination to simplify down to a two variable problem.

joannablackwelder · Answer

Such as subtracting, the second equation from the first to eliminate the variable x.

joannablackwelder · Answer

Then multiplying the second equation by 2 and subtracting from the third equation to eliminate the variable x again.

joannablackwelder · Answer

This produces two equations with only y and z.

joannablackwelder · Answer

Make sense so far?

anonymous · Answer

kinda

joannablackwelder · Answer

Do you understand why it would be helpful to make two new equations with only y and z?

anonymous · Answer

to eliminate x?

joannablackwelder · Answer

Right. Have you used elimination, substitution, or graphing methods to solve a system of two equations before?

anonymous · Answer

no

joannablackwelder · Answer

I would suggest working some of those first. This problems requires you to know how to do those problems first.

anonymous · Answer

ok i will work some out

joannablackwelder · Answer

This would be a good practice worksheet. http://cdn.kutasoftware.com/Worksheets/Alg1/Systems%20of%20Equations%20Elimination.pdf