The graphs of the given equations are shown below y=7x-4 y=21/3x+3 how many solutions are shown by the linear graphs
Based on the given information, the equations are:
1) y = 7x - 4
2) y = 7x + 3
To determine the number of solutions shown by the linear graphs, we need to find where the two graphs intersect. If the graphs intersect at a single point, then there is one unique solution. If the graphs are parallel and do not intersect at any point, there are no solutions. And if the graphs coincide and overlap completely, there are infinitely many solutions.
To find the point of intersection, we can set the two equations equal to each other:
7x - 4 = 7x + 3
By subtracting 7x from both sides, we have:
-4 = 3
This is a contradiction, indicating that there is no value of x that satisfies both equations. Therefore, the graphs are parallel and do not intersect, so there are no solutions shown by the linear graphs.