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How many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
How do you find the linear system if you know its solutions?
You cannot since there are infinitely many sets of lines that can pass through any single point - the solution.
When solving a system of equations by elimination you find what?
You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.
How many solutions can a system of linear equations with two variables?
None, one or infinitely many.
Can a linear equation have only one solution?
A linear can't have more than one solution. WRONG!A linear system can have more than 1 solution. It can also have no solution.Example: x+y=1z+y=2This system has infinitely many solutions. Y can equal anything and x and z can then be determined.Example: x+y=1y=1x=5This system obviously has no solution because if x=5 and y=1, then x+y can never equal 1.
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.
A system of two linear inequalities has either no points or infinitely many points in its solution?
the answer is true
Can a linear system have exactly two solutions?
NO! A linear system can only have one solution (the lines intersect at one point), no solution (the lines are parallel), and infinitely many solutions (the lines are equivalent).
How many solutions does linear equation in two variable have?
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
How many solutions are there to a linear inequality?
Infinitely many. The solution space is part of a plane.
How many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
How do you find the linear system if you know its solutions?
You cannot since there are infinitely many sets of lines that can pass through any single point - the solution.
When solving a system of equations by elimination you find what?
You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.
How many solutions can a system of linear equations with two variables?
None, one or infinitely many.
What must be true about the lines of a system of equation that has not one solution but infinitely many solutions?
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
Can a linear equation have only one solution?
A linear can't have more than one solution. WRONG!A linear system can have more than 1 solution. It can also have no solution.Example: x+y=1z+y=2This system has infinitely many solutions. Y can equal anything and x and z can then be determined.Example: x+y=1y=1x=5This system obviously has no solution because if x=5 and y=1, then x+y can never equal 1.
How many solutions will a system have if the graph of the solution is not parallel lines?
infinitely many solutions :)
