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For two linear equations, they are equations representing parallel lines. (The lines must not be concurrent because if they are, you will have an infinite number of solutions.)
For example y = mx + b
and y = mx + c where b and c are different numbers are two non-concurrent parallel lines. The equations have no solution.
With more than two linear equations there is much more scope. Unless ALL the lines meet at one point, the system will not have a solution. So a system consisting of equations defining the three lines of a triangle, for example, will not have a solution.
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Why does the intersection of the two lines represent the solution of the linear equation system?
The solution to a system is an ordered pair (x,y) where the two lines intersect.
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
Write the solution for this system of linear equation ''y equal -x plus 2 and 3x-y equal -13''?
(-3,-4)
Are system of equations and system of linear equation the same?
No....not necessary
What is a linear system with infinitely many solution?
It is a system in which the solution set is a straight line.
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
Does every system of a linear equation have a solution?
No, if two lines are parallel they will not have a solution.
What is a system of equations that has at least one solution?
a linear equation
What is a solution of a linear equation called?
A solution of a linear equation is called a root or a solution. It is a value that satisfies the equation when substituted back into it.
Which ordered pair is a solution of the linear system?
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
How do you determine which region to shade to indicate the solution set of a system linear equation?
3
Must solutions to systems of linear equalities satisfy both equalities?
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
Why does the intersection of the two lines represent the solution of the linear equation system?
The solution to a system is an ordered pair (x,y) where the two lines intersect.
What is an independent system of linear equations?
An independent system of linear equations is a set of vectors in Rm, where any other vector in Rm can be written as a linear combination of all of the vectors in the set. The vector equation and the matrix equation can only have the trivial solution (x=0).
It is impossible for a system of two linear equations to have exactly one solution. True or False?
False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.
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
