Which equation has an infinite number of solutions?
The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions.
What is a math problem with infinite solutions?
When a problem has infinite solutions, you’ll end up with a statement that’s true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there’s no variable in sight. Therefore we can conclude that the problem has infinite solutions.
What is the equation for no solution?
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.
What if an equation 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.
Is 0 a solution to each equation?
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.
How do you know if equation has infinite solutions?
To determine whether it’s infinite or only one, you can plug in more numbers. If you plug in a different number and it does work, that equation has infinite solutions. If it does not work with any number besides one, it only has one solution.
Which equations have exactly one solution?
Hence, the given linear equation has only one solution i.e. x = 80 . From the above examples, we see that the variable x does not disappear after solving & we say that the linear equation will have one solution if it is satisfied by exactly one value of the variable.
What is an example of an equation with no solution?
an example of no solutions is as follows: when you multiply the first equation by 2 to eliminate one of the variables, you wind up eliminating all of the variables and you get: when you subtract the first equation from the second equation, you get: 0 + 0 = 3 which becomes 0 = 3.
Does an equation have one true solution?
But it is not impossible that an equation cannot have more than one solution or infinite number of solutions or no solutions at all. Having no solution means that an equation has no answer whereas infinite solutions of an equation means that any value for the variable would make the equation true.