Question

If two equations are graphed, how can you find the solution to the system of equations?

Answer 1

Answer:

If the lines intersect, the System of equations has One Solution.

The point of intersection between the lines is the solution of the System of equations.

Step-by-step explanation:

 By definition, given a System of Linear equations, if the lines intersect its means that that System of equations has One Solution.

 Then, the point of intersection  $(x,y)$  between the lines is the solution of the System of equations.

Observe the graph attached in the exercise.

You can notice that the are two lines which are intersecting each other at a point.

 In this case, you can identify that the intersection between those lines are at the following point:

$(3,3)$

Where:

$x=3\\\\y=3$

(Observe the picture attached)

That is the solution of the System of equations.