What happens when a system of equations equals 0?
For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions. For an answer to have no solution both answers would not equal each other.
What if a system of equations is 0 0?
2 Answers. If you end with 0=0 , then it means that the left-hand side and the right-hand side of the equation are equal to each other regardless of the values of the variables involved; therefore, its solution set is all real numbers for each variable.
What is the solution set for an equation that has no solution?
If an equation has no solutions, its solution set is the empty set or null set–a set with no members, denoted Ø. For example, the solution set to x2 = – 9 is Ø, because no number, when squared, is equal to a negative number. Sometimes we will be given a set of values from which to find a solution–a replacement set.
What is the solution to a systems of equation?
A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system. (5, 4) is a solution of the first equation, but not the second.
What happens when both sides of the equation are the same?
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
What is a system with no solution?
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 is the solution of 0 2?
Explanation: Substitute the point (0 ,2). That is x = 0 , y = 2 into both equations and if they are TRUE then (0 ,2) is an element of the solution set. Both equations are satisfied by (0 ,2) thus it is an element of the solution set.
What solution is x0?
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.
What is 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. No Solution Equations.
How do you find the solution set of a system of equations?
To solve a system of equations by graphing, graph all the equations in the system. The point(s) at which all the lines intersect are the solutions to the system. Graph of System Since the two lines intersect at the point (1, 1), this point is a solution to the system.
What is the solution set of a system?
A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.