SOLUTION: Solve using Matrices----- 4x-y=5 3x-3y=0

Question 825076: Solve using Matrices-----
4x-y=5
3x-3y=0
Found 2 solutions by TimothyLamb, Alan3354:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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4x-y=5
3x-3y=0
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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system matrix: A
4 -1
3 -3
---
unknown vector: X
x
y
---
constant vector: B
5
0
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inverse of system matrix: Ai
0.33333333 -0.11111111
0.33333333 -0.44444444
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determinant of system matrix = -9
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matrix equation:
X = Ai * B
---
solution (X vector):
x = 1.6666667
y = 1.6666667
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---
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---
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Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve using Matrices-----
4x-y=5
3x-3y=0
------------
|4 -1|
|3 -3|
Det = 4*-3 - 3*-1 = -12 + 3 = -9
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For x:
|-1 -5|
|-3 0|
x*Det = -1*0 - (-3*-5) = -15
x = -15/-9 = 5/3
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For -y*Det:
|4 -5|
|3 0|
-y*Det = 4*0 - 3*-5 = 15
-y = 15/-9
y = 5/3

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