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Set up an augmented matrix and use Gaussian elimination to solve the system:
3 2 | 15
6 4 | 30
~2 * R1 -> R1
6 4 | 30
6 4 | 30
~ -1 * R1 + R2-> R2
6 4 | 30
0 0 | 0
~ 1/6 * R1 -> R1
1 2/3 | 5
0 0 | 0
We can conclude two things from this:
1) The system is consistent, because there are no "bad" rows (no row reduces down to 0 ... | 1)
2) There is a free variable.
The solution to the system is x + 2/3y = 5, where 'y' is free.
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What type of system of linear equation is y equals -3x-1 and 3x plus -1?
A consistent system.
Which system of inequalities has no solution?
Which system of inequalities has no solution?A.y > 3x - 1y < 3x - 3B.y > 3x + 3y < 3x + 7C.y > -1y < 2y > 2x - 3re...
Which order pair is the solution to the system of equations below using the matrix system 3x-4y19 3x-6y15?
If you mean: 3x-4y = 19 and 3x-6y = 15 Then: x = 9 and y = 2
The system of equations 3x-6y equals 20 and 2x-4y equals 3 is?
the system of equations 3x-6y=20 and 2x-4y =3 is?Well its inconsistent.
3x plus 5y equals 48 -3x plus 5y equals 12Solve the system of equations Enter your answer as an ordered pair?
3x+5y=48 5y=48-3x-3x+5y=12 -3x+(48-3x)=12-6x=-36x=65y=48-3(6)5y=30y=6(6,6)
What is 2y-x equals 0 y equals 3x-5?
If this is a system you have Y expressed in terms of X. 2(3X - 5) - X = 0 6X - 10 - X = 0 5X = 10 X = 2 --------------find Y Y = 3(2) - 5 Y = 6 - 5 Y = 1 ----------------check in first equation 2(1) - 2 = 0 2 - 2 = 0 0 = 0 both check and system is consistent
9x-3y equals 24 y equals 3x-8 the system?
The system is simultaneous linear equations
Which windows operating system uses only 16-bit processor?
3x
Solving system of elimination?
x+8y=28 -3x+5y=3
Which expression is equivalent to 3x + 3x + 3x?
3x + 3x + 3x = 3* (3x) = 9x
Is the system of equations 3x-6y equals 12 and 2x-4y equals 3 dependent consistent inconsistent or independent?
The system is inconsistent because there is no solution, i.e., no ordered pair, that satisfies both equations. You can see that this will be the case by seeing that their graphs have the same slope (2) but different y-intercepts (2 and 3/4 respectively). So the lines are parallel and will not intersect.
How many solutions does this system of equations have 3x 2y6 and -4x 5y15?
If you mean: 3x+2y = 6 and -4x+5y = 15 then it works out as x = 0 and y = 3
