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.Com
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)
)
)
)
)
RELATED QUESTIONS
Solve. If the system's equations are dependent or it there is no solution, state this.
(answered by Alan3354)
Solve. If the system's equations are dependent or it there is no solution, state this.
(answered by solver91311)
Solve each of these system of equations.
1) x + 2y + z = 10
2x - y + 3z = -5
(answered by Alan3354)
How do I solve this ordered triple system of equations?
3x-2y+3z=-27 (1)
4x+y-2z=5 (2)
(answered by Finavon)
solve each system
x+y-z= -1
4x-3y+2z= 16... (answered by venugopalramana)
solve the system
x+y+z=-1
x-y+3z=-17
2x+y+z=-2
Solve the system
x-y+2z=7... (answered by solver91311)
using cramers rule solve the following systems of linear equations
a. x-2y+3z = -7 (answered by MathLover1)
I need help with system of equations with 3 variables.
1. Solve x + y = z
-2x 4y + z (answered by Alan3354)
Solve the system of equations:
-3x + y - z = -10
-4x + 2y + 3z = -1
2x + 3y - 2z... (answered by robertb)