When a system of equations has no solution the lines are?

When a system of equations has no solution the lines are?

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 it mean to have no solution in a linear equation?

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. No Solution Equations.

What is a linear system with no solution called?

A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel.

When graphing a system of linear equations with no solution the lines will be?

This means no solution and the two lines are parallel as they do not intersect .

When there are no solutions to a linear system of equations The equations have the same ___ and the lines are parallel?

1. Parallel Lines: If the two linear equations have the same slope (and different y-intercepts), the lines will be parallel. Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)

Which equations have no solution?

Correct answer: The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.

What is the condition of no solution?

For no solution, Two lines have no solution, if these two lines are parallel to each other. The lines are parallel to each other means that the slopes of the lines are equal. Mathematical representation of the equation with no solution for the given set of general lines is: pu=qv≠rw.

What’s an example of a no solution equation?

As an example, suppose we look at 3x = 12. This equation is true when x = 4, but false when x is any other value. The second equation, an identity is always true, no matter what value replaces the variable. This equation has no solution.

How do you know if an equation has no solution?

Correct answer: The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

Is it possible to have a system of equations with no solution?

It is possible for a system of equations to have no solution because a point on a coordinate graph to solve the equation may not exist. The only way this can happen is if there is no intersection point, as this point would be the answer. And of course, if there is no intersection, then the lines are parallel.

Which equation has no solution?

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 can you tell that there is no solution to a system of equations by looking at the equations or the graph?

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.