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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.
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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.
