Which graph shows a system with infinite solutions?

Which graph shows a system with infinite solutions?

Recall that a linear equation graphs as a line, which indicates that all of the points on the line are solutions to that linear equation. There are an infinite number of solutions. If you have a system of linear equations, the solution for the system is the value that makes all of the equations true.

What is infinite solution in linear equations?

An infinite solution has both sides equal. For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an infinite solutions formula or method, you’ll get both sides equal, hence, it is an infinite solution. Infinite represents limitless or unboundedness. It is usually represented by the symbol ” ∞ “.

How would you describe the graph of a system of linear equations that is said to be consistent and independent?

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

What does an infinite solution look like?

We can identify which case it is by looking at our results. If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

How do you know if a system has infinite solutions?

The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

What is infinite solutions on a graph?

A system of linear equations has infinite solutions when the graphs are the exact same line.

How do you know if an equation has infinite solutions?

Which system type is a linear system with infinitely many solutions?

dependent system
A dependent system has infinitely many solutions. The lines are coincident. They are the same line, so every coordinate pair on the line is a solution to both equations.

When a system has an infinite solution set the system is said to be?

System of equations having infinite number of solutions is called dependent system. System of equations having no solution is called inconsistent system. Hence, If a system of linear equations has infinitely many solutions, then the system is called dependent system.