SOLUTION: solve for z 3x + 4y + z = 11.5 2x - 2y - 3z = 1.5 4x + y - 2z = 12.5 (a) .5 (b) .2 (c) 5 (d) 1.5
Algebra
->
College
->
Linear Algebra
-> SOLUTION: solve for z 3x + 4y + z = 11.5 2x - 2y - 3z = 1.5 4x + y - 2z = 12.5 (a) .5 (b) .2 (c) 5 (d) 1.5
Log On
Algebra: Linear Algebra (NOT Linear Equations)
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Linear Algebra
Question 118587
:
solve for z
3x + 4y + z = 11.5
2x - 2y - 3z = 1.5
4x + y - 2z = 12.5
(a) .5
(b) .2
(c) 5
(d) 1.5
Answer by
MathLover1(20849)
(
Show Source
):
You can
put this solution on YOUR website!
..(1)
(2)
(3)
Take (1) and (2), and eliminate
..(1)
(2) -> .multiply by
+
.add them
--------------------------------
(a)
Now take (2) and (3), and eliminate
-> multiply by
+
.. add them
-----------------------------
(b)
Now take (a) and (b) and eliminate
-> multiply by
-> multiply by
..
.. .. add them
---------------------------
Now find
(a)
Now find
(2) .
Check:
Plug in values in original equations:
..(1)
(2)
(3)
)
)
)
)
