Q: Is the solution of a two-variable system the point on a graph at which the lines cross?

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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

Related questions

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.

Graph both equations on the same graph. Where they intersect is the solution to the system of equations

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

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.