The solution to a system is an ordered pair (x,y) where the two lines intersect.
The graphical solution of two straight lines, if it exists, is a single point. If such a point exists, its mean will be itself.
the solution to a system is where the two lines intersect upon a graph.
one solution
Yes
The solution to a system is an ordered pair (x,y) where the two lines intersect.
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No, if two lines are parallel they will not have a solution.
The graphical solution of two straight lines, if it exists, is a single point. If such a point exists, its mean will be itself.
the solution to a system is where the two lines intersect upon a graph.
If they are straight lines, then one solution.
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).
no solution
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.
The two equations represent parallel lines.
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
perpendicular