SOLUTION: 2x+y-z=20 X+3y=13 X=3

Algebra.Com
Question 1091559: 2x+y-z=20
X+3y=13
X=3

Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39628)   (Show Source): You can put this solution on YOUR website!
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2x+y-z=20
x+3y=13
x=3
--------------------


----------------
6+y-z=20
3+3y=13
---------------


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y-z=14
3y=10
--------------
.
How about now?

Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

2x+y-z=20
X+3y=13
X=3
He is WRONG, WRONG, WRONG, as usual. 

Answer by ikleyn(52866)   (Show Source): You can put this solution on YOUR website!
.
The correct solution is THIS:

2x +  y - z = 20    (1)
 x + 3y     = 13    (2)
 x          =  3    (3)


The equation (3) just gives you the solution for x:  x = 3.


Substitute it into equation (2).  You will get

 3 + 3y = 13  ====>  3y = 13 - 3 = 10  ===>  y =  =  .


Thus you found the unknown y, too.
Now substitute x = 3, y =  into equation (1).  You will get

 = 20  ====>  z =  =  -   =  .


Answer.  x = 3,  y =  ,  z =  .

Solved.


Ignore writing by @josgarithmetic, because it leads you in wrong direction.



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