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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).
What else can I help you with?
When will the system of linear equation be consistent?
When its matrix is non-singular.
What is the difference between a consistent independent system a consistent dependent system and an inconsistent system?
A consistent independent system has exactly one solution, meaning the equations intersect at a single point. A consistent dependent system has infinitely many solutions, as the equations represent the same line or plane. An inconsistent system has no solutions, as the equations represent parallel lines or planes that never intersect.
What is consistent system with independent equations?
A consistent system with independent equations is one in which there is at least one solution, and the equations do not overlap in their constraints, meaning that no equation can be derived from another. In such a system, the equations represent different planes (or lines in two dimensions), and they intersect at one unique point (in the case of two variables) or along a line (for three variables). This unique intersection indicates that the system has a single solution that satisfies all equations simultaneously.
is this statement true or falseA consistent independent system has lines that coincide?
false
What is the solution of the system yx 6?
Without a second independent equation, it's not a 'system' yet.
What makes an equation either inconsistent consistent dependent or independent?
That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
When will the system of linear equation be consistent?
When its matrix is non-singular.
What is the difference between a consistent independent system a consistent dependent system and an inconsistent system?
A consistent independent system has exactly one solution, meaning the equations intersect at a single point. A consistent dependent system has infinitely many solutions, as the equations represent the same line or plane. An inconsistent system has no solutions, as the equations represent parallel lines or planes that never intersect.
What is consistent system with independent equations?
A consistent system with independent equations is one in which there is at least one solution, and the equations do not overlap in their constraints, meaning that no equation can be derived from another. In such a system, the equations represent different planes (or lines in two dimensions), and they intersect at one unique point (in the case of two variables) or along a line (for three variables). This unique intersection indicates that the system has a single solution that satisfies all equations simultaneously.
what- use the slopes and y- intercept of the lines to determine the number of solutions to the system?
consistent dependent
What must be true about the lines of a system of equation that has not one solution but infinitely many solutions?
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
is this statement true or falseA consistent independent system has lines that coincide?
false
How do you create an independent operating system?
linus
What is the solution of the system yx 6?
Without a second independent equation, it's not a 'system' yet.
What type of system of linear equation is y equals -3x-1 and 3x plus -1?
A consistent system.
What is the solution of the system for yx 6 y2x?
Without a second independent equation, it's not a 'system' yet.
Can linear system that has more unknowns than equation be consistent?
yes it can . the system may have infinitely many solutions.
