What is inconsistent and dependent?

A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel. A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions.

Can an equation be consistent and dependent?

If the two equations describe parallel lines, and thus lines that do not intersect, the system is independent and inconsistent. If the two equations describe the same line, and thus lines that intersect an infinite number of times, the system is dependent and consistent.

What is consistent in maths?

Consistent System i) If both the lines intersect at a point, then there exists a unique solution to the pair of linear equations. In such a case, the pair of linear equations is said to be consistent.

What is dependent in math?

A dependent variable is a variable whose value depends upon independent variable s. The dependent variable is what is being measured in an experiment or evaluated in a mathematical equation. The dependent variable is sometimes called “the outcome variable.”

What is consistent in math?

In mathematics and particularly in algebra, a linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

What is a dependent line?

A system of parallel lines can be inconsistent or consistent dependent. If the lines in the system have the same slope but different intercepts then they are just inconsistent. Though if they have the same slope and intercepts (in other words, they are the same line) then they are consistent dependent.

What is consistent and inconsistent?

We consider a system to be consistent if it has at least one solution. A consistent system is independent if it has precisely one solution. When a system does not have a solution, we say it to be inconsistent. Because the line graphs do not meet, the graphs are parallel; thus, there is no solution.

What are consistent lines?

A system with exactly one solution is called a consistent system. To identify a system as consistent, inconsistent, or dependent, we can graph the two lines on the same graph and see if they intersect, are parallel, or are the same line.

What is an example of a dependent?

Some examples of dependents include a child, stepchild, brother, sister, or parent. Individuals who qualify to be claimed as a dependent may be required to file a tax return if they meet the filing requirements.