Question

The system of equations y=-1/5x-6 and y = –2x + 3 is shown on the graph below. According to the graph, what is the solution to this system of equations?

(5, –7)
(–7, 5)
(5, 7)
(7, 5)
(5, –7)
(–7, 5)
(5, 7)
(7, 5)

Sorry, I don't see a button to attach a graph. Still, hope someone can help.

Answer 1

(5,-7)

Explanation:

When solving a system of linear equations graphically, the solution to the system is normally given by the co-ordinate(s) of the point(s) of intersection. Plot the two equations on the same graph then note the point of intersection. This will be the solution.

Answer 2

Answer: (5,-7)

Explanation:

The graph of the system of equation given in the problem is shown attached.

As you can see in the graph there are two lines which intersect each other in a point. That point is the solution of the system of equation.

When you observe the graph, you can conclude that the point in which both lines intersect is (5,-7).

Therefore, the answer is the first option.