How many solutions does the system have

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines , there can be no solution. This is called an "inconsistent" system of equations, and it has no solution. Dionna Gaedecken Teacher. What is the definition of solution of a system? Definition Solution sets. Milagros Doon Teacher. Whats is a solution? A solution is a homogeneous type of mixture of two or more substances. A solution has two parts: a solute and a solvent.

The solute is the substance that dissolves, and the solvent is the majority of the solution. Solutions can exist in different phases - solid, liquid, and gas. Ute Leferink Reviewer. How do you know if a graph has infinite solutions? 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. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Henrietta Ramsden Reviewer. What does the word infinitely? Infinite describes things that are endless, like the universe, or your uncle's corny jokes. Finite means "something with an end," and when you add the prefix, in- meaning "not," you get infinite : something that never, ever ends. Ask A Question. Co-authors: 9. Updated On: 16th May, Solutions to systems of equations: consistent vs. Solutions to systems of equations: dependent vs. Number of solutions to a system of equations.

Number of solutions to a system of equations graphically. Practice: Number of solutions to a system of equations graphically. Number of solutions to a system of equations algebraically. If you're seeing this message, it means we're having trouble loading external resources on our website.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Login Sign up Search for courses, skills, and videos. Math Algebra 1 Systems of equations Number of solutions to systems of equations. Systems of equations number of solutions: fruit prices 1 of 2. Systems of equations number of solutions: fruit prices 2 of 2.