Posted by **Anneliese** on Wednesday, February 25, 2009 at 5:19pm.

Find all solutions to the following system of equations:

x + 3y + 2z = 6

-3x + y + 5z = 29

-2x - 3y + z = 14

This just did not work out for me. Here is my work:

I first solved Equation #1 for x.

x = -3y - 2z + 6

Then, I did substitution, and replaced x for -3y - 2z + 6 in equations #2 and 3.

-3(-3y - 2z +6) + y + 5z = 29

-2(-3y - 2z +6) - 3y + z = 14

That is the same as:

10y + 11z = 47

and

3y + 5z = 26

Would elimination be the next step?

Thanks, Liese

- Algebra -
**Reiny**, Wednesday, February 25, 2009 at 5:25pm
why not use elimination right from the beginning

look at the y's

If you add the first and the last, they are gone

If you add 3times the second to the last, they are gone.

now you have 2 equations in x and z

not bad....

- Question -
**Anneliese**, Wednesday, February 25, 2009 at 5:37pm
I finished it up like I said with elimination and got y = -3. Is this correct?

If not, I'll try it the way you suggested with elimination the whole way through.

Thanks, Liese

## Answer this Question

## Related Questions

- Algebra - Find the number of solutions for this system of equations. 3x + 5y = ...
- algebra - 1)What is the 4x^2=y^2+8y+32 answer= either hyperbola or parabola 2)...
- Algebra - Suppose a linear system of equations has 2012 equations and 2013 ...
- math - Determine the number of solutions for the following system of equations ...
- algebra - 5x=7+4y 20x-16y=28 how many solutions are there for the system of ...
- Algebra - How many solutions does this system of equations have? y = 4x + 3 and ...
- Algebra 2 Helpp :( - QUESTIONS (vvv) (1) Solve the system by subsitution 2x + y...
- Math 116 - Consider the following system of equations. y=2x-2 y-2x=9 What can ...
- Algebra - solving linear equations w/ substitution - The question in the book ...
- math - Consider the following system of equations. y = 2x - 2 y - 2x = 7 What ...