SOLUTION: Solve the system of equations 1) x+y+z+w=2 2x-3z= 5 x-2y+ 4w= 9 x+y+ 2z+ 3w= 5 2) x-y= 3 2x+y= 6 x-2y= 9 3) x-y+z-w= 0 3x-y-z-w= 2

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Question 820043: Solve the system of equations
1) x+y+z+w=2
2x-3z= 5
x-2y+ 4w= 9
x+y+ 2z+ 3w= 5
2) x-y= 3
2x+y= 6
x-2y= 9
3) x-y+z-w= 0
3x-y-z-w= 2

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
Linear system 1:
---
x + y + z + w = 2
2x - 3z = 5
x - 2y + 4w = 9
x + y + 2z + 3w = 5
---
copy and paste the above standard form equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer 1:
x= 1
y= 0
z= -1
w= 2
---
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Linear system 2:
---
x - y = 3
2x + y = 6
x - 2y = 9
---
copy and paste the above standard form equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer 2:
this linear system is singular; it has no solution
---
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Linear system 3:
---
x - y + z - w = 0
3x - y - z - w = 2
---
copy and paste the above standard form equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer 3:
this linear system of 4 variables requires 4 equations for a unique solution
---
----------------------------------------------------------
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

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