How do you know if one solution has no solution or infinite solutions?
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 determine whether a system of equations has 1 solution no solution or infinite solutions graphically?
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 you can tell whether an equation has an infinite number of solutions or no solution at all?
Explanation: When finding how many solutions an equation has you need to look at the constants and coefficients. The coefficients are the numbers alongside the variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.
How do you tell if an equation has one solution?
A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel.
How do you know if a system has one solution?
Which equation has only one solution?
2 Answers By Expert Tutors A quadratic equation only has one solution if the discriminant is zero.
How do you know if its infinite solutions?
We can identify which case it is by looking at our results. 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.
How do you know when an equation has one solution?
How do you know if there are infinite solutions to variables?
If you end up with the variable equal to a number it’s one solution, if you end up with a number equal to itself it’s an identity and there are infinite solutions and if you end up with a false statement then there is no solution.
How do you find the number of solutions to a linear equation?
Case 1. If (a 1 /a 2) = (b 1 /b 2) = (c 1 /c 2 ), then there will be infinitely many solutions. This type of equation is called a dependent pair of linear equations in two variables. If we plot the graph of this equation, the lines will coincide.
What is the value of X that has no solution?
If you cancel out all of the x terms via addition or subtraction, and you get something along the lines of 1 = 2, then you have no solution. 4 = 7 No value for x will satisfy this equation. If you cancel out all the x terms via addition or subtraction and you get something along the lines of 1 = 1, then you have infinite solutions.
How do you know if an equation has two solutions?
Sometimes we also have to look at the domain of the equation. For ex, the equation e^2x + e^x – 6 has two solutions at first sight (-2,3). But if the domain of the equation is R then the solution (-2) is not valid.