## What is the formula for no solution?

System of Linear Equations with No Solutions The red line is the graph of y=4x+2, and the blue line is the graph of y=4x+5. When two equations have the same slope but different y-axis, they are parallel. Since there are no intersection points, the system has no solutions.

## How do you know if there are infinite solutions?

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.

## What is the infinite solution symbol?

Sometimes we use the symbol ∞, which means infinity, to represent infinite solutions.

## What lines have infinite solutions?

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

## How do you know if a linear equation has infinite solutions?

If the two lines have the same y-intercept and the slope, they are actually in the same exact line. In other words, when the two lines are the same line, then the system should have infinite solutions. It means that if the system of equations has an infinite number of solution, then the system is said to be consistent.

## How many solutions does a 3 2a =- 1 3a 4 have?

Answer: There are infinitely many solutions of this equation.

## How many solutions do 2 parallel lines have?

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

## Why do parallel lines never intersect?

When two lines (or rays, or segments) run into each other, it’s called an intersection. Parallel lines don’t have any intersections with each other, since they’ll never run into each other.

## Do intersecting lines have one solution?

Recall that intersecting lines have one solution and therefore the system is consistent. Because the lines are not the same the equations are independent.

## Do parallel lines have the same slope?

As mentioned above, parallel lines have the same slope. So, if we know the slope of the line parallel to our line, we have it made.

## What can you say about lines if common solution is not possible?

Answer. The lines which have no solutions are known as parallel lines.. And which have unique solution or 1 solution are known as intersecting lines and which have many solution are known as coincidence lines.