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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.
What else can I help you with?
What type of system of linear equation is y equals -3x-1 and 3x plus -1?
A consistent system.
Which equation can pair with 3x 4y 8 to create a consistent and independent system?
To create a consistent and independent system with the equation (3x + 4y = 8), you need a second equation that has a different slope. For example, you could use the equation (x - 2y = -1). This equation will intersect with the first equation at exactly one point, ensuring that the system is consistent (has a solution) and independent (the equations are not multiples of each other).
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
What is y-3x 4 an y3x-2 systems of equation graphing?
The equations ( y = 3x + 4 ) and ( y = 3x - 2 ) represent two parallel lines with the same slope of 3 but different y-intercepts. When graphed, they will never intersect, indicating that there is no solution to the system of equations. This means the two lines are consistent and parallel, confirming that they do not share any points in common.
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 expression is equivalent to 3x + 3x + 3x?
3x + 3x + 3x = 3* (3x) = 9x
Solving system of elimination?
x+8y=28 -3x+5y=3
Which windows operating system uses only 16-bit processor?
3x
