What does it mean if an equation is equivalent to 0 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 does it mean when an equation equals 0?
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.
What happens if you get 0 0 in a system of equations?
Since 0 = 0 for any value of x, the system of equations has infinite solutions. Every ordered pair (x, y) which satisfies y = x + 17 (the isolation equation) is a solution to the system.
What does 0 0 mean for a solution?
What does 0 = 0 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines. There are no solutions to the system because the equations represent the same line.
What does it mean if two equations are equivalent?
Two systems of equations are equivalent if they have the same solution(s). In contrast, we can be sure that two systems of equations are not equivalent if we know that a solution of the one is not a solution of the other. Note: This idea of equivalent systems of equations pops up again in linear algebra.
Is 0 0 A solution of the given linear equation?
Each of these is another way to end up with another trivially-true result, such as “0 = 0”. But no matter the specific steps taken, the result (a trivially-true equation) will always be the same, and solution will still be the same: “all x”.
What does it mean when an equation equals itself?
This means that it doesn’t matter what value we substitute for , the equation will always be true. Go ahead and try plugging in a couple of your favorite numbers to verify this is true. equal to itself? Always!
What does it mean when there is no coefficient of the variable?
1
If a variable is written without a coefficient, then it is assumed to have a coefficient of 1; frequently, when the coefficient is 1, it is not written. An example of this would be in the equation x + 6. There is no coefficient presented with the variable, so the term x has a coefficient of 1.
What does it mean for an equation to have no solution or infinite solutions How does the equation appear when those are the outcomes?
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.