Want this question answered?
Be notified when an answer is posted
the solution to a system is where the two lines intersect upon a graph.
One solution
Graph both and where they cross is the answer to both.
no solutions
Yes
the solution to a system is where the two lines intersect upon a graph.
one solution
One solution
Graph both and where they cross is the answer to both.
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
No Solutions
no solutions
Yes
It represents the point of intersection on a graph.
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
In the same coordinate space, i.e. on the same set of axes: -- Graph the first equation. -- Graph the second equation. -- Graph the third equation. . . -- Rinse and repeat for each equation in the system. -- Visually examine the graphs to find the points (2-dimension graph) or lines (3-dimension graph) where all of the individual graphs intersect. Since those points or lines lie on the graph of each individual graph, they are the solution to the entire system of equations.
parallel