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.
To determine the number of solutions for a system of equations, one would typically analyze the equations' characteristics—such as their slopes and intercepts in the case of linear equations. If the equations represent parallel lines, there would be no solutions; if they intersect at a single point, there is one solution; and if they are identical, there would be infinitely many solutions. Without specific equations, it's impossible to provide a definitive number of solutions.
To determine how many solutions a system has, we need to analyze the equations involved. Typically, a system of linear equations can have one solution (intersecting lines), infinitely many solutions (coincident lines), or no solution (parallel lines). If you provide the specific equations, I can give a more accurate assessment of the number of 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?
If a system of equations is inconsistent, there are no solutions.
As there is no system of equations shown, there are zero solutions.
To determine the number of solutions for a system of equations, one would typically analyze the equations' characteristics—such as their slopes and intercepts in the case of linear equations. If the equations represent parallel lines, there would be no solutions; if they intersect at a single point, there is one solution; and if they are identical, there would be infinitely many solutions. Without specific equations, it's impossible to provide a definitive number of 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
To determine how many solutions a system has, we need to analyze the equations involved. Typically, a system of linear equations can have one solution (intersecting lines), infinitely many solutions (coincident lines), or no solution (parallel lines). If you provide the specific equations, I can give a more accurate assessment of the number of solutions.
Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.
50
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?