Is it possible for a system of equations to have no solution explain?
Is it possible for a system of equations to have no solution explain?
1 Answer. 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.
When a system has no solution it is called?
A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel.
How do you tell if an equation has no solution?
Some equations have no solutions. In these equations, there is no value for the variable that makes the equation true. You can tell that an equation has no solutions if you try to solve the equation and get a false statement. Combine like terms 3x and 2x.
What is the condition of no solution?
If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. This type of system of equations is called an inconsistent pair of linear equations. If we plot the graph, the lines will be parallel and system of equations have no solution.
What is an example of a no solution equation?
The last type of equation is known as a contradiction, which is also known as a No Solution Equation. This type of equation is never true, no matter what we replace the variable with. As an example, consider 3x + 5 = 3x – 5. This equation has no solution.
How can you tell if a system of three equations has no solution?
Case 1: There is one solution. In order for three equations with three variables to have one solution, the planes must intersect in a single point. Case 2: There is no solution. The three planes do not have any points in common.
What is no solution in linear equations?
If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. This type of equation is called an inconsistent pair of linear equations. If we plot the graph, the lines will be parallel.
Why is something 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.
How do you get no solution answer?
To create a no solution equation, we can need to create a mathematical statement that is always false. To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
What are the conditions for 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.
