Question

Someone help? Which graph most likely shows a system of equations with two solutions?

Answer 1

Two solution to a system of equation means when we look at the graph of the function the graph of the two equations must intersect at exactly two points.

The graph satisfying such condition is attached to the answer.

in this graph the curve that is downward parabola and a line intersect at exactly two points and hence result in two solutions.

Answer 2

Option D is correct.

The fourth graph shows a system of equation with two solutions.

Explanation:

From the given figure,

we can see that we have a parabola and a straight line.

Since, the line is touching the parabola at two points, one point and no point.

In the first graph, the line touches the parabola at one point.

In the second graph, the line does not touches the parabola at no point.

also,In the third graph,the line touches the parabola at one point and

In fourth graph, the lines touches the parabola at two points.

For the system of equations :

• For one solution, the two equations will touch at one point.
• For Two solution, the two equation will touch at two point.
• For no solution, the two equation will not touch at no point.

Therefore, the graph which is most likely shows a system of equation with two solutions is: In fourth graph