To determine the solution of a system from its graph, look for the point where the graphs of the equations intersect. This intersection point represents the values of the variables that satisfy all equations in the system simultaneously. If the graphs do not intersect, the system may have no solution, indicating that the equations are inconsistent. If the graphs overlap entirely, it suggests that there are infinitely many solutions.
the solution to a system is where the two lines intersect upon a graph.
Graph both and where they cross is the answer to both.
One solution
no solutions
Yes
the solution to a system is where the two lines intersect upon a graph.
Graph both and where they cross is the answer to both.
one solution
One solution
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