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How do you know when an equations has infinitly many solutions?
Wiki User
∙ 14y ago
An equation must have 1, 0, or infinitely many solutions.
So if you find 1 and there is another, you have know it has infinitely many.
For example. 0x+2=2
I solve this and the equations become 0x=0
Now, 1 is a solutions, but so is 2. I now know there are infinitely many.
How about 0x+2=3. No solution
and 2x+2=4, has one solution.
I put those two here so you might try other numbers and see that they have no solutions and one solution.
A special type of equation known as an identity is an equation that holds for all numbers. This means it has infinitely many solutions.
Wiki User
∙ 14y ago
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If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
If a dependent system of equations is solved how many solutions will there be?
if a dependent system of equation is solved, how many solutions will there be?
How many solutions exist for the following system of equations?
The answer follows:
How many solutions does a system of linear equations have if it is inconsistant?
A set of equations is inconsistent, if its solution set is empty.
If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
How many solutions does the system of linear equations shown have?
As there is no system of equations shown, there are zero solutions.
What are solutions of trigonometric equations?
That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.
If a system of equations is dependent how many solutions will it have?
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
How do you know when an algebraic equation has infinitely many solutions?
A system of equations has an infinite set of solutions when the equations define the same line, such that for ax + by = c, the values for two equations is a1/a2 + b1/b2 = c1/c2. Equations where a variable drops out completely, e.g. 3x - y = 6x -2y there are either an infinite number of solutions, or no solution at all.
What are inifintly equations?
Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.
Most quadratic equations have how many solutions?
2
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
Do all rational equations have solutions?
No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.
How many solutions does an consistent and dependent system of equations have?
It has more than one solutions.
If a dependent system of equations is solved how many solutions will there be?
if a dependent system of equation is solved, how many solutions will there be?
You know that equations and inequalities have different solution symbols, therefore, how many solutions will each one of them have when solving for the variable?
50
