HELP! Answer the follow system of three equations. FIND X, Y

[chysurfer]

[System Of Three Equations]

{3x+4y+Z=14}
{x+5y-Z=8}
{2x-y+2z=6}

Find X, Y, & Z


The Answer is a WHOLE Number. Not Fractions and there is a solution, I just can't figure it out. I have been trying to get it for so long.

Please show your solution for your answer, because that is the part i need the most. Thank you!
:]

 

[royhaas]

The first equation is the sum of the other two equations.

 

[Deleted member 4993]

[System Of Three Equations]

{3x+4y+Z=14}
{x+5y-Z=8}
{2x-y+2z=6}

Find X, Y, & Z


The Answer is a WHOLE Number. Not Fractions and there is a solution, I just can't figure it out. I have been trying to get it for so long.

Please show your solution for your answer, because that is the part i need the most. Thank you!
:]

Please show us your work - so that we know where to begin to help you.

 

[Denis]

You're really given only 2 equations (see roy's remark).
So there is no unique solution (3 variables require 3 equations).
Best you can do is eliminate one variable; as example, eliminating x will leave 11y - 4z = 10;
I presume you know how to do that.

So integer solutions are multiple:
x=1, y=2, z=3
x=-8, y=6, z=14
.....

IF you were told "the solution is POSITIVE integers", then x=1,y=2,z=3 is the only solution.