Question

Which is the apparent solution set of the system of equations graphed on the grid?

Answer 1

The solution to the equations is {(-1, -4), (2, 2)}

The system of equations graphed as shown in the attached image is made up of a quadratic function and a linear function.

A quadratic function has two solutions and it is in the form:

y = ax² + bx + c

A linear function is in the form:

y = mx + c

Therefore to find the solution set of the graphed system of equations, we need to locate the point at which the linear function intersects with the quadratic function.

Hence from the graph, the point of intersection of both functions is at {(-1, -4), (2, 2)}.

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