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Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
What is of system of equations?
It is essentially a list of equations that have common unknown variables in all of them. For example, a+b-c=3 4a+b+c=1 a-2b-7c=-2 would be a system of equations. If there are the same number of equations and variables you can usually, but not always, find the solutions. Since there are 3 equations and 3 variables (a, b, and c) in this example one can usually find the value of those three variables.
How do you know when an equation has infinitely many solutions or no solution?
They Are infinitely many solutions for an equation when after solving the equation for a variable(let us suppose x),we get the expression 0 = 0. Or Simply L.H.S = R.H.S For Ex. x+3=3+x x can have any value positive or negative, rational or irrational, it doesn't matter the sequence will be infinite. And No Solutions when after solving the equations the expression obtained is unequal For Ex. x+3=x+5 for every value of x, The Value in L.H.S And R.H.S. will differ. Hence It Has No Solutions.
A system of two linear equations has infinitely many solutions if?
One equation is simply a multiple of the other. Equivalently, the equations are linearly dependent; or the matrix of coefficients is singular.
The two lines graphed below are parallel How many solutions are there to the system of equations?
Although there is no graph, the number of solutions is 0.
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 a quadratic equation and an absolute value equation have?
They each typically have two solutions, a positive one and a negative one.
How many solutions does the system of linear equations shown have?
As there is no system of equations shown, there are zero solutions.
How many solutions does this system of equations have 2x-3y equals -14 4x-6y equals -28?
The equations are identical in value, ie the second is merely twice the first...
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 )
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.
Most quadratic equations have how many solutions?
2
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.
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.
What absolute value inequality has 6 and -10 as two of its solutions?
There are many possible answers but the simplest is |x + 2| = 8
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.
