SEARCH HOME
Math CentralQuandaries & Queries

search

Question from Tiffany, a student:

solve:

x + y + z = 4
2x - 3y - z = 1
4x + y - 2z = 16

thanks!

Hi Tiffany,

What I see first is z in the first equation and -z in the second equation so if I add the equations the z terms will cancel. Thus add equation 1 to equation 2 to get

3x - 2y = 5

To obtain another equation with z eliminated multiply the first equation by 2 and add the result to the third equation. This gives

6x + 3y = 24

Can you now solve these two equations for y?

Penny

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS