Question

What are the solutions to the system of equations graphed below select all that apply

Answer 1

`(3,-6)` and
`(-5,-13)` are the required solution.

Explanation:

We have been give the graph of a function in which there is a downward parabola and a line.

Solution to the system of equation is intersection of two curves.

We can see that the parabola and line intersects at two points.

We ca see from the graph that there is 2 units scale in the coordinate plane.
`(3,-6)` and
`(-5,-13)` are the required solution.

Answer 2

A. (-5, -13)

Explanation:

When solving two equations using the graph method, the solutions are points where the two graph equations meet. This gives the values of x-coordinate and y-coordinate that satisfy the 2 equations.

The intersection of the two equation makes the solution.

Considering the diagram below the equations meet at (2,-6) and (-5, -13).

∴ The answer are (2,-6) & (-5, -13)