1.Since parallel lines never cross, then there can be no intersection, that is, for a system of equations that graph as parallel lines, there can be no solution. This is called an "Inconsistent "
system of equations, and it has no solution. The third graph above, "Case 3 ",appears to show only one line.
2.An "Independent "system of equations has exactly one solution ( x, y ). An inconsistent system has no solution.
3.A "Consistent "system of equation has at least one solution.
4. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions. Some special terms are sometimes used to describe these kinds of system.
5.The "Parallel Lines "is the graph formed when the system is inconsistent.
Answers & Comments
Answer:
1.d
2.c
3.f
4.a
5b
Step-by-step explanation:
tama to to to to to
Answer:
1. Inconsistent
2. Independent
3. Consistent
4. None/No solution
5. Parallel Lines
Step-by-step explanation:
1. Since parallel lines never cross, then there can be no intersection, that is, for a system of equations that graph as parallel lines, there can be no solution. This is called an " Inconsistent "
system of equations, and it has no solution. The third graph above, " Case 3 ", appears to show only one line.
2. An " Independent " system of equations has exactly one solution ( x, y ). An inconsistent system has no solution.
3. A " Consistent " system of equation has at least one solution.
4. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions. Some special terms are sometimes used to describe these kinds of system.
5. The " Parallel Lines " is the graph formed when the system is inconsistent.