Yes
Graph both and where they cross is the answer to both.
the solution to a system is where the two lines intersect upon a graph.
One solution
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
no solutions
Graph both and where they cross is the answer to both.
Yes, the solution to a two-variable system is the point where the equations of the lines representing the system intersect on a graph. This point represents the values of the variables that satisfy both equations simultaneously.
the solution to a system is where the two lines intersect upon a graph.
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
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
no solutions
No Solutions
The point of intersection on the graph of a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously. In a two-variable system, it shows where the two lines (or curves) cross, meaning both equations yield the same output for those specific input values. If the lines intersect at a single point, there is one unique solution; if they coincide, there are infinitely many solutions; and if they are parallel, there is no solution.
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.