How do you know if an equation has no solution on a 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.

How do you know if an equation has no solution how do you know if an equation has infinitely many solutions?

Well, there is a simple way to know if your solution is an infinite solution. An infinite solution has both sides equal. For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an infinite solutions formula or method, you’ll get both sides equal, hence, it is an infinite solution.

How do you know if you have 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.

Which system of equation has no solution?

inconsistent system of equations
An inconsistent system of equations is a system of equations that has no solution.

How do you solve two equations with no solution set?

None of the other answers. Use the substitution method to solve for the solution set. Substitute into equation 1: If equation 1 was solved for a variable and then substituted into the second equation a similar result would be found. This is because these two equations have No solution.

How do you know if an equation is a solution?

If an equation is true after the variable has been replaced by a specific number, then the number is called a solution of the equation and is said to satisfy it. Obviously, every solution is a member of the replacement set.

What is the set of all solutions of an equation?

The set of all solutions of an equation is called the solution set of the equation. In the first equation above {3} is the solution set, while in the second example {-2,1} is the solution set. We can verify by substitution that each of these numbers is a solution of its respective equation, and we will see later that these are the only solutions.

What is the solution to the equation with like terms?

Combining like terms, we end up with. Dividing both sides of the equation by the constant, we obtain an answer of. However, this solution is NOT in the domain. Thus, there is NO SOLUTION because is an extraneous answer.