What is another name for solution in science?
The word “solution” is just another fancy term for homogeneous mixture (see Elements, Compounds, and Mixtures). In solutions, one material (called the solute) is completely dissolved in another (called the solvent).
What is another name for solution in math?
1 answer, clarification, elucidation, explanation, explication, key, resolution, result, solving, unfolding, unravelling.
What is the definition of no solution?
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. Note that we have variables on both sides of the equation.
What do you call a problem with no solution?
A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.
How do you tell if a system has no solution?
A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel. Infinite solutions.
Why do parallel lines have no solution?
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.)
What type of solutions do parallel lines 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. The third graph above, “Case 3”, appears to show only one line.
What does it mean when two equations are graphed and they produce the same line?
Hello! Sometimes two equations will graph the same line. This means that a system of equations have infinite solutions and that they are impossible to solve.
What if two lines have the same Y intercept?
always two line will intersect only once. if they have the same y intercepts then that is their point of intersection. these lines are perpendicular because their slopes are negative reciprocals of each other. as can be seen on the graph, their only point of intersection is at the y intercept.
Which graph shows a system of equations with no solutions?
The answer is graph B because the lines never intersect; they are parallel lines.
Which graph most likely shows a system of equations with two solutions?
The fourth graph shows a system of equation with two solutions.