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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
Are system of equations and system of linear equation the same?
No....not necessary
Write the solution for this system of linear equation ''y equal -x plus 2 and 3x-y equal -13''?
(-3,-4)
What is a linear system with infinitely many solution?
It is a system in which the solution set is a straight line.
