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.
If a system of equations is inconsistent, there are no solutions.
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 equation is solved, how many solutions will there be?
The answer follows:
A set of equations is inconsistent, if its solution set is empty.
If a system of equations is inconsistent, there are no solutions.
As there is no system of equations shown, there are zero solutions.
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
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.
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.
2
Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.
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.
No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.
50
It has more than one solutions.
if a dependent system of equation is solved, how many solutions will there be?