SOLUTION: x+z=7
2y-z=3
-x-3y+2z=11
Algebra.Com
Question 530507: x+z=7
2y-z=3
-x-3y+2z=11
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x+z=7
2y-z=3
-x-3y+2z=11
----
Rearrange:
x = 7-z
y = (z+3)/2
---
Substitute and solve for "z":
-x - 3y + 2z = 11
-(7-z) -3[(z+3)/2] + 2z = 11
-----
-7 +7x -(3/2)z -(9/2) + 2z = 11
------
(9-(3/2))z = 18
(7.5)z = 18
z = 2.4
---
Solve for "x" and "y":
x = 7-2.4 = 4.6
y = 5.4/2 = 2.7
=============================
Cheers,
Stan H.
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