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Which graph shows a system of equations with no solutions?
On a coordinate plane, the graphs of 2 circles are shown. Both circles have a center at (0, 0). The smaller circle is within the larger circle and the smaller circle has a radius that is 2 units smaller than the larger circle.
On a coordinate plane, a graph of a line and a parabola are shown. The line is horizontal to the x-axis at y = negative 5. The parabola opens up and its vertex on the line.
On a coordinate plane, the graphs of 2 circles are shown. Both circles are in quadrant 1, and they intersect each other.
On a coordinate plane, the graphs of 2 parabolas are shown. Both parabolas open up and they intersect each other at (0, 0). The first parabola has a vertex in quadrant 3 and the second parabola has a vertex in quadrant 4.



What are the solutions of the following system?

StartLayout Enlarged left-brace 1st row x squared + y squared = 25 2nd row 2x + y = 25 EndLayout
(0, –5) and (–5, 5)
(0, –5) and (5, –15)
(0, –5) and (–4, 3)
(0, –5) and (4, –13)



How many solutions exist for the system of equations in the graph?

On a coordinate plane, a graph of a circle and a parabola are shown. The circle has a center at (0, 0) and a radius of 8 units. The parabola opens up and goes through (0, 8), has a vertex at (3.5, 2), and goes through (7, 8).
one
two
three
four