Posted by **Eli** on Saturday, December 11, 2010 at 2:28am.

Solve the system:

x + y + z = -1

2x + 2y + 5z = 1

5x + 2y + 3z = 8

what is the value of x in the solution?

- College Algebra -
**bobpursley**, Saturday, December 11, 2010 at 11:06am
By what method are you using. If not your calculator on matricies, then Irecommend the method of determinants.

- College Algebra -
**Prakash**, Saturday, December 11, 2010 at 4:24pm
Use simultaneous equation method:

x=-y-z-1...(1)

Now, the equation 2 become:

2(-y-z-1)+2y+5z=1

-2y-2z-2+2y+5z=1

3z=1+2; z=3

Now equation 1 becomes

x=-y-3-1=-y-4; i.e, x=-y-4....(a)

equation 3 becomes:

5(-y-4)+2y+3(3)=8

-5y-20+2y+9=8

-3y=19; y=-19/3

Now the very first equation becomes

x+2(-19/3)+3=1

x=1-3+38/3=38/3-2=12.7-2=10.7

hence x=10.2

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