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How many solutions can a system of linear equations with two variables?
None, one or infinitely many.
Do all rational equations have one solution?
No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.
Kinds of system of linear equation in two variables?
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
How many solutions do systems of linear inequalities have?
They can have none, one or infinitely many.
How do you know when an equations has infinitly many solutions?
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.
