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How many of the different kinds of solution sets are possible in two linear equations?
Wiki User
∙ 11y ago
Three different kinds: none, one and infinitely many.
Wiki User
∙ 11y ago
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What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
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.
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
What are the three types of systems of linear equations and their characteristics?
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
Which is not possible solution of a system of linear equations?
anal juice
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
A system of two linear equations has exactly one solution if?
The slopes (gradients) of the two equations are different.
When equations of linear systems have different slopes how many solutions does it have?
One solution
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
How many solutions is it possible for a system of linear equations to have?
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
Do equations with different slopes and different y-intercepts have a solution?
TWO linear equations with different slopes intersect in one point, regardlessof their y-intercepts. That point is the solution of the pair.However, this does not mean that three (or more) equations in two variables, even if they meet the above conditions, have a solution.
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
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 the point at which the lines intersect in a system of linear equations?
The coordinates of the point of intersection represents the solution to the linear equations.
